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Finding the Third Proportional to 964,830 and 1,418,334

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Solution

The third proportional to 964,830 and 1,418,334 is: 2,085,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,830 : 1,418,334 = 1,418,334 : x
  2. Step 2: Convert to fraction form
    964,830/1,418,334 = 1,418,334/x
  3. Step 3: Cross multiply
    964,830x = 1,418,334 × 1,418,334
  4. Step 4: Simplify right side
    964,830x = 2,011,671,335,556
  5. Step 5: Solve for x
    x = 2,011,671,335,556/964,830
  6. Step 6: Final answer
    x = 2,085,000.81

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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.