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Finding the Third Proportional to 827,263.13 and 1,127,816.16

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Solution

The third proportional to 827,263.13 and 1,127,816.16 is: 1,537,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,263.13 : 1,127,816.16 = 1,127,816.16 : x
  2. Step 2: Convert to fraction form
    827,263.13/1,127,816.16 = 1,127,816.16/x
  3. Step 3: Cross multiply
    827,263.13x = 1,127,816.16 × 1,127,816.16
  4. Step 4: Simplify right side
    827,263.13x = 1,271,969,282,298.52
  5. Step 5: Solve for x
    x = 1,271,969,282,298.52/827,263.13
  6. Step 6: Final answer
    x = 1,537,563.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.