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Finding the Third Proportional to 431,076 and 1,006,842

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Solution

The third proportional to 431,076 and 1,006,842 is: 2,351,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,076 : 1,006,842 = 1,006,842 : x
  2. Step 2: Convert to fraction form
    431,076/1,006,842 = 1,006,842/x
  3. Step 3: Cross multiply
    431,076x = 1,006,842 × 1,006,842
  4. Step 4: Simplify right side
    431,076x = 1,013,730,812,964
  5. Step 5: Solve for x
    x = 1,013,730,812,964/431,076
  6. Step 6: Final answer
    x = 2,351,628.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.