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Finding the Third Proportional to 749,397 and 1,142,771

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Solution

The third proportional to 749,397 and 1,142,771 is: 1,742,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,397 : 1,142,771 = 1,142,771 : x
  2. Step 2: Convert to fraction form
    749,397/1,142,771 = 1,142,771/x
  3. Step 3: Cross multiply
    749,397x = 1,142,771 × 1,142,771
  4. Step 4: Simplify right side
    749,397x = 1,305,925,558,441
  5. Step 5: Solve for x
    x = 1,305,925,558,441/749,397
  6. Step 6: Final answer
    x = 1,742,635.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.