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Finding the Third Proportional to 1,547,936.16 and 3,283,168.78

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Solution

The third proportional to 1,547,936.16 and 3,283,168.78 is: 6,963,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,936.16 : 3,283,168.78 = 3,283,168.78 : x
  2. Step 2: Convert to fraction form
    1,547,936.16/3,283,168.78 = 3,283,168.78/x
  3. Step 3: Cross multiply
    1,547,936.16x = 3,283,168.78 × 3,283,168.78
  4. Step 4: Simplify right side
    1,547,936.16x = 10,779,197,246,174.61
  5. Step 5: Solve for x
    x = 10,779,197,246,174.61/1,547,936.16
  6. Step 6: Final answer
    x = 6,963,592.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.