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Finding the Third Proportional to 1,636,543.13 and 3,577,807.13

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Solution

The third proportional to 1,636,543.13 and 3,577,807.13 is: 7,821,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,543.13 : 3,577,807.13 = 3,577,807.13 : x
  2. Step 2: Convert to fraction form
    1,636,543.13/3,577,807.13 = 3,577,807.13/x
  3. Step 3: Cross multiply
    1,636,543.13x = 3,577,807.13 × 3,577,807.13
  4. Step 4: Simplify right side
    1,636,543.13x = 12,800,703,823,700.77
  5. Step 5: Solve for x
    x = 12,800,703,823,700.77/1,636,543.13
  6. Step 6: Final answer
    x = 7,821,794.38

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Why These Related Problems?

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