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Finding the Third Proportional to 487,473.19 and 1,052,038.13

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Solution

The third proportional to 487,473.19 and 1,052,038.13 is: 2,270,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,473.19 : 1,052,038.13 = 1,052,038.13 : x
  2. Step 2: Convert to fraction form
    487,473.19/1,052,038.13 = 1,052,038.13/x
  3. Step 3: Cross multiply
    487,473.19x = 1,052,038.13 × 1,052,038.13
  4. Step 4: Simplify right side
    487,473.19x = 1,106,784,216,453.52
  5. Step 5: Solve for x
    x = 1,106,784,216,453.52/487,473.19
  6. Step 6: Final answer
    x = 2,270,451.47

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