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Finding the Third Proportional to 595,704 and 1,208,688

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Solution

The third proportional to 595,704 and 1,208,688 is: 2,452,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,704 : 1,208,688 = 1,208,688 : x
  2. Step 2: Convert to fraction form
    595,704/1,208,688 = 1,208,688/x
  3. Step 3: Cross multiply
    595,704x = 1,208,688 × 1,208,688
  4. Step 4: Simplify right side
    595,704x = 1,460,926,681,344
  5. Step 5: Solve for x
    x = 1,460,926,681,344/595,704
  6. Step 6: Final answer
    x = 2,452,437.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.