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Finding the Third Proportional to 977,681 and 1,431,521

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Solution

The third proportional to 977,681 and 1,431,521 is: 2,096,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,681 : 1,431,521 = 1,431,521 : x
  2. Step 2: Convert to fraction form
    977,681/1,431,521 = 1,431,521/x
  3. Step 3: Cross multiply
    977,681x = 1,431,521 × 1,431,521
  4. Step 4: Simplify right side
    977,681x = 2,049,252,373,441
  5. Step 5: Solve for x
    x = 2,049,252,373,441/977,681
  6. Step 6: Final answer
    x = 2,096,033.75

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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.