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Finding the Third Proportional to 710,987 and 1,006,025

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Solution

The third proportional to 710,987 and 1,006,025 is: 1,423,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,987 : 1,006,025 = 1,006,025 : x
  2. Step 2: Convert to fraction form
    710,987/1,006,025 = 1,006,025/x
  3. Step 3: Cross multiply
    710,987x = 1,006,025 × 1,006,025
  4. Step 4: Simplify right side
    710,987x = 1,012,086,300,625
  5. Step 5: Solve for x
    x = 1,012,086,300,625/710,987
  6. Step 6: Final answer
    x = 1,423,494.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.