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Finding the Third Proportional to 768,370.50 and 1,127,646

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Solution

The third proportional to 768,370.50 and 1,127,646 is: 1,654,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,370.50 : 1,127,646 = 1,127,646 : x
  2. Step 2: Convert to fraction form
    768,370.50/1,127,646 = 1,127,646/x
  3. Step 3: Cross multiply
    768,370.50x = 1,127,646 × 1,127,646
  4. Step 4: Simplify right side
    768,370.50x = 1,271,585,501,316
  5. Step 5: Solve for x
    x = 1,271,585,501,316/768,370.50
  6. Step 6: Final answer
    x = 1,654,911.92

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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.