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Finding the Third Proportional to 1,357,705.13 and 2,013,054.19

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Solution

The third proportional to 1,357,705.13 and 2,013,054.19 is: 2,984,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,705.13 : 2,013,054.19 = 2,013,054.19 : x
  2. Step 2: Convert to fraction form
    1,357,705.13/2,013,054.19 = 2,013,054.19/x
  3. Step 3: Cross multiply
    1,357,705.13x = 2,013,054.19 × 2,013,054.19
  4. Step 4: Simplify right side
    1,357,705.13x = 4,052,387,161,811.29
  5. Step 5: Solve for x
    x = 4,052,387,161,811.29/1,357,705.13
  6. Step 6: Final answer
    x = 2,984,732.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.