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Finding the Third Proportional to 431,172 and 916,776

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Solution

The third proportional to 431,172 and 916,776 is: 1,949,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,172 : 916,776 = 916,776 : x
  2. Step 2: Convert to fraction form
    431,172/916,776 = 916,776/x
  3. Step 3: Cross multiply
    431,172x = 916,776 × 916,776
  4. Step 4: Simplify right side
    431,172x = 840,478,234,176
  5. Step 5: Solve for x
    x = 840,478,234,176/431,172
  6. Step 6: Final answer
    x = 1,949,287.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.