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Finding the Third Proportional to 929,024 and 1,357,689

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Solution

The third proportional to 929,024 and 1,357,689 is: 1,984,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,024 : 1,357,689 = 1,357,689 : x
  2. Step 2: Convert to fraction form
    929,024/1,357,689 = 1,357,689/x
  3. Step 3: Cross multiply
    929,024x = 1,357,689 × 1,357,689
  4. Step 4: Simplify right side
    929,024x = 1,843,319,420,721
  5. Step 5: Solve for x
    x = 1,843,319,420,721/929,024
  6. Step 6: Final answer
    x = 1,984,146.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.