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Finding the Third Proportional to 759,456 and 1,177,473

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Solution

The third proportional to 759,456 and 1,177,473 is: 1,825,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,456 : 1,177,473 = 1,177,473 : x
  2. Step 2: Convert to fraction form
    759,456/1,177,473 = 1,177,473/x
  3. Step 3: Cross multiply
    759,456x = 1,177,473 × 1,177,473
  4. Step 4: Simplify right side
    759,456x = 1,386,442,665,729
  5. Step 5: Solve for x
    x = 1,386,442,665,729/759,456
  6. Step 6: Final answer
    x = 1,825,573.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.