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Finding the Third Proportional to 534,506 and 1,152,560

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Solution

The third proportional to 534,506 and 1,152,560 is: 2,485,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,506 : 1,152,560 = 1,152,560 : x
  2. Step 2: Convert to fraction form
    534,506/1,152,560 = 1,152,560/x
  3. Step 3: Cross multiply
    534,506x = 1,152,560 × 1,152,560
  4. Step 4: Simplify right side
    534,506x = 1,328,394,553,600
  5. Step 5: Solve for x
    x = 1,328,394,553,600/534,506
  6. Step 6: Final answer
    x = 2,485,275.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.