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Finding the Third Proportional to 977,649.75 and 1,431,475.03

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Solution

The third proportional to 977,649.75 and 1,431,475.03 is: 2,095,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,649.75 : 1,431,475.03 = 1,431,475.03 : x
  2. Step 2: Convert to fraction form
    977,649.75/1,431,475.03 = 1,431,475.03/x
  3. Step 3: Cross multiply
    977,649.75x = 1,431,475.03 × 1,431,475.03
  4. Step 4: Simplify right side
    977,649.75x = 2,049,120,765,092.19
  5. Step 5: Solve for x
    x = 2,049,120,765,092.19/977,649.75
  6. Step 6: Final answer
    x = 2,095,966.13

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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.