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Finding the Third Proportional to 2,913,951 and 4,411,569

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Solution

The third proportional to 2,913,951 and 4,411,569 is: 6,678,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,951 : 4,411,569 = 4,411,569 : x
  2. Step 2: Convert to fraction form
    2,913,951/4,411,569 = 4,411,569/x
  3. Step 3: Cross multiply
    2,913,951x = 4,411,569 × 4,411,569
  4. Step 4: Simplify right side
    2,913,951x = 19,461,941,041,761
  5. Step 5: Solve for x
    x = 19,461,941,041,761/2,913,951
  6. Step 6: Final answer
    x = 6,678,884.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.