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Finding the Third Proportional to 1,574,245.13 and 3,428,502.19

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Solution

The third proportional to 1,574,245.13 and 3,428,502.19 is: 7,466,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,245.13 : 3,428,502.19 = 3,428,502.19 : x
  2. Step 2: Convert to fraction form
    1,574,245.13/3,428,502.19 = 3,428,502.19/x
  3. Step 3: Cross multiply
    1,574,245.13x = 3,428,502.19 × 3,428,502.19
  4. Step 4: Simplify right side
    1,574,245.13x = 11,754,627,249,692.29
  5. Step 5: Solve for x
    x = 11,754,627,249,692.29/1,574,245.13
  6. Step 6: Final answer
    x = 7,466,834.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.