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Finding the Third Proportional to 434,044 and 952,128

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Solution

The third proportional to 434,044 and 952,128 is: 2,088,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,044 : 952,128 = 952,128 : x
  2. Step 2: Convert to fraction form
    434,044/952,128 = 952,128/x
  3. Step 3: Cross multiply
    434,044x = 952,128 × 952,128
  4. Step 4: Simplify right side
    434,044x = 906,547,728,384
  5. Step 5: Solve for x
    x = 906,547,728,384/434,044
  6. Step 6: Final answer
    x = 2,088,607.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.