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Finding the Third Proportional to 1,017,313.80 and 1,401,397.14

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Solution

The third proportional to 1,017,313.80 and 1,401,397.14 is: 1,930,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,313.80 : 1,401,397.14 = 1,401,397.14 : x
  2. Step 2: Convert to fraction form
    1,017,313.80/1,401,397.14 = 1,401,397.14/x
  3. Step 3: Cross multiply
    1,017,313.80x = 1,401,397.14 × 1,401,397.14
  4. Step 4: Simplify right side
    1,017,313.80x = 1,963,913,934,803.65
  5. Step 5: Solve for x
    x = 1,963,913,934,803.65/1,017,313.80
  6. Step 6: Final answer
    x = 1,930,489.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.