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Finding the Third Proportional to 768,280 and 1,127,504

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Solution

The third proportional to 768,280 and 1,127,504 is: 1,654,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,280 : 1,127,504 = 1,127,504 : x
  2. Step 2: Convert to fraction form
    768,280/1,127,504 = 1,127,504/x
  3. Step 3: Cross multiply
    768,280x = 1,127,504 × 1,127,504
  4. Step 4: Simplify right side
    768,280x = 1,271,265,270,016
  5. Step 5: Solve for x
    x = 1,271,265,270,016/768,280
  6. Step 6: Final answer
    x = 1,654,690.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.