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Finding the Third Proportional to 531,528 and 1,127,856

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Solution

The third proportional to 531,528 and 1,127,856 is: 2,393,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,528 : 1,127,856 = 1,127,856 : x
  2. Step 2: Convert to fraction form
    531,528/1,127,856 = 1,127,856/x
  3. Step 3: Cross multiply
    531,528x = 1,127,856 × 1,127,856
  4. Step 4: Simplify right side
    531,528x = 1,272,059,156,736
  5. Step 5: Solve for x
    x = 1,272,059,156,736/531,528
  6. Step 6: Final answer
    x = 2,393,211.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.