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Finding the Third Proportional to 593,445,184.25 and 872,390,746.75

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Solution

The third proportional to 593,445,184.25 and 872,390,746.75 is: 1,282,453,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,445,184.25 : 872,390,746.75 = 872,390,746.75 : x
  2. Step 2: Convert to fraction form
    593,445,184.25/872,390,746.75 = 872,390,746.75/x
  3. Step 3: Cross multiply
    593,445,184.25x = 872,390,746.75 × 872,390,746.75
  4. Step 4: Simplify right side
    593,445,184.25x = 761,065,615,015,022,592
  5. Step 5: Solve for x
    x = 761,065,615,015,022,592/593,445,184.25
  6. Step 6: Final answer
    x = 1,282,453,097.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.