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Finding the Third Proportional to 457,710 and 957,246

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Solution

The third proportional to 457,710 and 957,246 is: 2,001,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,710 : 957,246 = 957,246 : x
  2. Step 2: Convert to fraction form
    457,710/957,246 = 957,246/x
  3. Step 3: Cross multiply
    457,710x = 957,246 × 957,246
  4. Step 4: Simplify right side
    457,710x = 916,319,904,516
  5. Step 5: Solve for x
    x = 916,319,904,516/457,710
  6. Step 6: Final answer
    x = 2,001,966.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.