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Finding the Third Proportional to 877,476 and 1,327,014

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Solution

The third proportional to 877,476 and 1,327,014 is: 2,006,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,476 : 1,327,014 = 1,327,014 : x
  2. Step 2: Convert to fraction form
    877,476/1,327,014 = 1,327,014/x
  3. Step 3: Cross multiply
    877,476x = 1,327,014 × 1,327,014
  4. Step 4: Simplify right side
    877,476x = 1,760,966,156,196
  5. Step 5: Solve for x
    x = 1,760,966,156,196/877,476
  6. Step 6: Final answer
    x = 2,006,853.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.