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Finding the Third Proportional to 964,293.75 and 1,417,635.56

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Solution

The third proportional to 964,293.75 and 1,417,635.56 is: 2,084,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,293.75 : 1,417,635.56 = 1,417,635.56 : x
  2. Step 2: Convert to fraction form
    964,293.75/1,417,635.56 = 1,417,635.56/x
  3. Step 3: Cross multiply
    964,293.75x = 1,417,635.56 × 1,417,635.56
  4. Step 4: Simplify right side
    964,293.75x = 2,009,690,588,064.69
  5. Step 5: Solve for x
    x = 2,009,690,588,064.69/964,293.75
  6. Step 6: Final answer
    x = 2,084,106.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.