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Finding the Third Proportional to 977,663.25 and 1,535,631.75

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Solution

The third proportional to 977,663.25 and 1,535,631.75 is: 2,412,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,663.25 : 1,535,631.75 = 1,535,631.75 : x
  2. Step 2: Convert to fraction form
    977,663.25/1,535,631.75 = 1,535,631.75/x
  3. Step 3: Cross multiply
    977,663.25x = 1,535,631.75 × 1,535,631.75
  4. Step 4: Simplify right side
    977,663.25x = 2,358,164,871,608.06
  5. Step 5: Solve for x
    x = 2,358,164,871,608.06/977,663.25
  6. Step 6: Final answer
    x = 2,412,042.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.