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Finding the Third Proportional to 712,005.19 and 1,535,323.36

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Solution

The third proportional to 712,005.19 and 1,535,323.36 is: 3,310,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,005.19 : 1,535,323.36 = 1,535,323.36 : x
  2. Step 2: Convert to fraction form
    712,005.19/1,535,323.36 = 1,535,323.36/x
  3. Step 3: Cross multiply
    712,005.19x = 1,535,323.36 × 1,535,323.36
  4. Step 4: Simplify right side
    712,005.19x = 2,357,217,817,842.54
  5. Step 5: Solve for x
    x = 2,357,217,817,842.54/712,005.19
  6. Step 6: Final answer
    x = 3,310,675.06

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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.