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Finding the Third Proportional to 581,724 and 893,850

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Solution

The third proportional to 581,724 and 893,850 is: 1,373,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,724 : 893,850 = 893,850 : x
  2. Step 2: Convert to fraction form
    581,724/893,850 = 893,850/x
  3. Step 3: Cross multiply
    581,724x = 893,850 × 893,850
  4. Step 4: Simplify right side
    581,724x = 798,967,822,500
  5. Step 5: Solve for x
    x = 798,967,822,500/581,724
  6. Step 6: Final answer
    x = 1,373,448.27

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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.