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Finding the Third Proportional to 876,465.75 and 1,370,056.13

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Solution

The third proportional to 876,465.75 and 1,370,056.13 is: 2,141,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,465.75 : 1,370,056.13 = 1,370,056.13 : x
  2. Step 2: Convert to fraction form
    876,465.75/1,370,056.13 = 1,370,056.13/x
  3. Step 3: Cross multiply
    876,465.75x = 1,370,056.13 × 1,370,056.13
  4. Step 4: Simplify right side
    876,465.75x = 1,877,053,785,650.02
  5. Step 5: Solve for x
    x = 1,877,053,785,650.02/876,465.75
  6. Step 6: Final answer
    x = 2,141,616.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.