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Finding the Third Proportional to 611,569 and 899,377

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Solution

The third proportional to 611,569 and 899,377 is: 1,322,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,569 : 899,377 = 899,377 : x
  2. Step 2: Convert to fraction form
    611,569/899,377 = 899,377/x
  3. Step 3: Cross multiply
    611,569x = 899,377 × 899,377
  4. Step 4: Simplify right side
    611,569x = 808,878,988,129
  5. Step 5: Solve for x
    x = 808,878,988,129/611,569
  6. Step 6: Final answer
    x = 1,322,629.15

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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.