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Finding the Third Proportional to 726,118.17 and 1,580,483.39

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Solution

The third proportional to 726,118.17 and 1,580,483.39 is: 3,440,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,118.17 : 1,580,483.39 = 1,580,483.39 : x
  2. Step 2: Convert to fraction form
    726,118.17/1,580,483.39 = 1,580,483.39/x
  3. Step 3: Cross multiply
    726,118.17x = 1,580,483.39 × 1,580,483.39
  4. Step 4: Simplify right side
    726,118.17x = 2,497,927,748,041.50
  5. Step 5: Solve for x
    x = 2,497,927,748,041.50/726,118.17
  6. Step 6: Final answer
    x = 3,440,111.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.