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Finding the Third Proportional to 1,683,715 and 3,693,402

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Solution

The third proportional to 1,683,715 and 3,693,402 is: 8,101,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,715 : 3,693,402 = 3,693,402 : x
  2. Step 2: Convert to fraction form
    1,683,715/3,693,402 = 3,693,402/x
  3. Step 3: Cross multiply
    1,683,715x = 3,693,402 × 3,693,402
  4. Step 4: Simplify right side
    1,683,715x = 13,641,218,333,604
  5. Step 5: Solve for x
    x = 13,641,218,333,604/1,683,715
  6. Step 6: Final answer
    x = 8,101,857.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.