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Finding the Third Proportional to 531,926 and 1,165,587

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Solution

The third proportional to 531,926 and 1,165,587 is: 2,554,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,926 : 1,165,587 = 1,165,587 : x
  2. Step 2: Convert to fraction form
    531,926/1,165,587 = 1,165,587/x
  3. Step 3: Cross multiply
    531,926x = 1,165,587 × 1,165,587
  4. Step 4: Simplify right side
    531,926x = 1,358,593,054,569
  5. Step 5: Solve for x
    x = 1,358,593,054,569/531,926
  6. Step 6: Final answer
    x = 2,554,101.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.