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Finding the Third Proportional to 779,735 and 1,240,577

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Solution

The third proportional to 779,735 and 1,240,577 is: 1,973,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,735 : 1,240,577 = 1,240,577 : x
  2. Step 2: Convert to fraction form
    779,735/1,240,577 = 1,240,577/x
  3. Step 3: Cross multiply
    779,735x = 1,240,577 × 1,240,577
  4. Step 4: Simplify right side
    779,735x = 1,539,031,292,929
  5. Step 5: Solve for x
    x = 1,539,031,292,929/779,735
  6. Step 6: Final answer
    x = 1,973,787.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.