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Finding the Third Proportional to 1,182,428 and 1,834,364

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Solution

The third proportional to 1,182,428 and 1,834,364 is: 2,845,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,428 : 1,834,364 = 1,834,364 : x
  2. Step 2: Convert to fraction form
    1,182,428/1,834,364 = 1,834,364/x
  3. Step 3: Cross multiply
    1,182,428x = 1,834,364 × 1,834,364
  4. Step 4: Simplify right side
    1,182,428x = 3,364,891,284,496
  5. Step 5: Solve for x
    x = 3,364,891,284,496/1,182,428
  6. Step 6: Final answer
    x = 2,845,747.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.