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Finding the Third Proportional to 415,545 and 896,700

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Solution

The third proportional to 415,545 and 896,700 is: 1,934,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,545 : 896,700 = 896,700 : x
  2. Step 2: Convert to fraction form
    415,545/896,700 = 896,700/x
  3. Step 3: Cross multiply
    415,545x = 896,700 × 896,700
  4. Step 4: Simplify right side
    415,545x = 804,070,890,000
  5. Step 5: Solve for x
    x = 804,070,890,000/415,545
  6. Step 6: Final answer
    x = 1,934,979.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.