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Finding the Third Proportional to 964,666 and 1,418,127

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Solution

The third proportional to 964,666 and 1,418,127 is: 2,084,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,666 : 1,418,127 = 1,418,127 : x
  2. Step 2: Convert to fraction form
    964,666/1,418,127 = 1,418,127/x
  3. Step 3: Cross multiply
    964,666x = 1,418,127 × 1,418,127
  4. Step 4: Simplify right side
    964,666x = 2,011,084,188,129
  5. Step 5: Solve for x
    x = 2,011,084,188,129/964,666
  6. Step 6: Final answer
    x = 2,084,746.63

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