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Finding the Third Proportional to 1,781,417.81 and 3,815,069.63

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Solution

The third proportional to 1,781,417.81 and 3,815,069.63 is: 8,170,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,417.81 : 3,815,069.63 = 3,815,069.63 : x
  2. Step 2: Convert to fraction form
    1,781,417.81/3,815,069.63 = 3,815,069.63/x
  3. Step 3: Cross multiply
    1,781,417.81x = 3,815,069.63 × 3,815,069.63
  4. Step 4: Simplify right side
    1,781,417.81x = 14,554,756,243,597.64
  5. Step 5: Solve for x
    x = 14,554,756,243,597.64/1,781,417.81
  6. Step 6: Final answer
    x = 8,170,321.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.