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Finding the Third Proportional to 712,054.13 and 1,535,419.13

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Solution

The third proportional to 712,054.13 and 1,535,419.13 is: 3,310,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,054.13 : 1,535,419.13 = 1,535,419.13 : x
  2. Step 2: Convert to fraction form
    712,054.13/1,535,419.13 = 1,535,419.13/x
  3. Step 3: Cross multiply
    712,054.13x = 1,535,419.13 × 1,535,419.13
  4. Step 4: Simplify right side
    712,054.13x = 2,357,511,889,415.77
  5. Step 5: Solve for x
    x = 2,357,511,889,415.77/712,054.13
  6. Step 6: Final answer
    x = 3,310,860.52

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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.