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Finding the Third Proportional to 572,448 and 841,166

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Solution

The third proportional to 572,448 and 841,166 is: 1,236,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,448 : 841,166 = 841,166 : x
  2. Step 2: Convert to fraction form
    572,448/841,166 = 841,166/x
  3. Step 3: Cross multiply
    572,448x = 841,166 × 841,166
  4. Step 4: Simplify right side
    572,448x = 707,560,239,556
  5. Step 5: Solve for x
    x = 707,560,239,556/572,448
  6. Step 6: Final answer
    x = 1,236,025.35

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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.