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Finding the Third Proportional to 1,908,721.13 and 4,153,285.13

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Solution

The third proportional to 1,908,721.13 and 4,153,285.13 is: 9,037,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908,721.13 : 4,153,285.13 = 4,153,285.13 : x
  2. Step 2: Convert to fraction form
    1,908,721.13/4,153,285.13 = 4,153,285.13/x
  3. Step 3: Cross multiply
    1,908,721.13x = 4,153,285.13 × 4,153,285.13
  4. Step 4: Simplify right side
    1,908,721.13x = 17,249,777,329,546.27
  5. Step 5: Solve for x
    x = 17,249,777,329,546.27/1,908,721.13
  6. Step 6: Final answer
    x = 9,037,348.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.