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Finding the Third Proportional to 1,778,041.13 and 3,840,382.13

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Solution

The third proportional to 1,778,041.13 and 3,840,382.13 is: 8,294,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,041.13 : 3,840,382.13 = 3,840,382.13 : x
  2. Step 2: Convert to fraction form
    1,778,041.13/3,840,382.13 = 3,840,382.13/x
  3. Step 3: Cross multiply
    1,778,041.13x = 3,840,382.13 × 3,840,382.13
  4. Step 4: Simplify right side
    1,778,041.13x = 14,748,534,866,019.52
  5. Step 5: Solve for x
    x = 14,748,534,866,019.52/1,778,041.13
  6. Step 6: Final answer
    x = 8,294,822.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.