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Finding the Third Proportional to 581,742 and 853,461

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Solution

The third proportional to 581,742 and 853,461 is: 1,252,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,742 : 853,461 = 853,461 : x
  2. Step 2: Convert to fraction form
    581,742/853,461 = 853,461/x
  3. Step 3: Cross multiply
    581,742x = 853,461 × 853,461
  4. Step 4: Simplify right side
    581,742x = 728,395,678,521
  5. Step 5: Solve for x
    x = 728,395,678,521/581,742
  6. Step 6: Final answer
    x = 1,252,094.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.