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Finding the Third Proportional to 411,044 and 896,591

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Solution

The third proportional to 411,044 and 896,591 is: 1,955,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,044 : 896,591 = 896,591 : x
  2. Step 2: Convert to fraction form
    411,044/896,591 = 896,591/x
  3. Step 3: Cross multiply
    411,044x = 896,591 × 896,591
  4. Step 4: Simplify right side
    411,044x = 803,875,421,281
  5. Step 5: Solve for x
    x = 803,875,421,281/411,044
  6. Step 6: Final answer
    x = 1,955,691.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.