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Finding the Third Proportional to 977,649 and 1,431,471

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Solution

The third proportional to 977,649 and 1,431,471 is: 2,095,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,649 : 1,431,471 = 1,431,471 : x
  2. Step 2: Convert to fraction form
    977,649/1,431,471 = 1,431,471/x
  3. Step 3: Cross multiply
    977,649x = 1,431,471 × 1,431,471
  4. Step 4: Simplify right side
    977,649x = 2,049,109,223,841
  5. Step 5: Solve for x
    x = 2,049,109,223,841/977,649
  6. Step 6: Final answer
    x = 2,095,955.93

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Why These Related Problems?

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