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Finding the Third Proportional to 415,613 and 896,087

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Solution

The third proportional to 415,613 and 896,087 is: 1,932,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,613 : 896,087 = 896,087 : x
  2. Step 2: Convert to fraction form
    415,613/896,087 = 896,087/x
  3. Step 3: Cross multiply
    415,613x = 896,087 × 896,087
  4. Step 4: Simplify right side
    415,613x = 802,971,911,569
  5. Step 5: Solve for x
    x = 802,971,911,569/415,613
  6. Step 6: Final answer
    x = 1,932,018.28

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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.