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Finding the Third Proportional to 584,835 and 1,275,438

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Solution

The third proportional to 584,835 and 1,275,438 is: 2,781,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,835 : 1,275,438 = 1,275,438 : x
  2. Step 2: Convert to fraction form
    584,835/1,275,438 = 1,275,438/x
  3. Step 3: Cross multiply
    584,835x = 1,275,438 × 1,275,438
  4. Step 4: Simplify right side
    584,835x = 1,626,742,091,844
  5. Step 5: Solve for x
    x = 1,626,742,091,844/584,835
  6. Step 6: Final answer
    x = 2,781,540.25

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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.