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Finding the Third Proportional to 711,767.25 and 1,537,349.63

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Solution

The third proportional to 711,767.25 and 1,537,349.63 is: 3,320,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,767.25 : 1,537,349.63 = 1,537,349.63 : x
  2. Step 2: Convert to fraction form
    711,767.25/1,537,349.63 = 1,537,349.63/x
  3. Step 3: Cross multiply
    711,767.25x = 1,537,349.63 × 1,537,349.63
  4. Step 4: Simplify right side
    711,767.25x = 2,363,443,869,487.64
  5. Step 5: Solve for x
    x = 2,363,443,869,487.64/711,767.25
  6. Step 6: Final answer
    x = 3,320,529.10

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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.