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Finding the Third Proportional to 581,724 and 893,849

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Solution

The third proportional to 581,724 and 893,849 is: 1,373,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,724 : 893,849 = 893,849 : x
  2. Step 2: Convert to fraction form
    581,724/893,849 = 893,849/x
  3. Step 3: Cross multiply
    581,724x = 893,849 × 893,849
  4. Step 4: Simplify right side
    581,724x = 798,966,034,801
  5. Step 5: Solve for x
    x = 798,966,034,801/581,724
  6. Step 6: Final answer
    x = 1,373,445.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.