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Finding the Third Proportional to 977,666 and 1,431,496

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Solution

The third proportional to 977,666 and 1,431,496 is: 2,095,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,666 : 1,431,496 = 1,431,496 : x
  2. Step 2: Convert to fraction form
    977,666/1,431,496 = 1,431,496/x
  3. Step 3: Cross multiply
    977,666x = 1,431,496 × 1,431,496
  4. Step 4: Simplify right side
    977,666x = 2,049,180,798,016
  5. Step 5: Solve for x
    x = 2,049,180,798,016/977,666
  6. Step 6: Final answer
    x = 2,095,992.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.