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Finding the Third Proportional to 709,614 and 1,537,339.50

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Solution

The third proportional to 709,614 and 1,537,339.50 is: 3,330,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,614 : 1,537,339.50 = 1,537,339.50 : x
  2. Step 2: Convert to fraction form
    709,614/1,537,339.50 = 1,537,339.50/x
  3. Step 3: Cross multiply
    709,614x = 1,537,339.50 × 1,537,339.50
  4. Step 4: Simplify right side
    709,614x = 2,363,412,738,260.25
  5. Step 5: Solve for x
    x = 2,363,412,738,260.25/709,614
  6. Step 6: Final answer
    x = 3,330,561.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.