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Finding the Third Proportional to 500,692 and 1,113,332

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Solution

The third proportional to 500,692 and 1,113,332 is: 2,475,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,692 : 1,113,332 = 1,113,332 : x
  2. Step 2: Convert to fraction form
    500,692/1,113,332 = 1,113,332/x
  3. Step 3: Cross multiply
    500,692x = 1,113,332 × 1,113,332
  4. Step 4: Simplify right side
    500,692x = 1,239,508,142,224
  5. Step 5: Solve for x
    x = 1,239,508,142,224/500,692
  6. Step 6: Final answer
    x = 2,475,590.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.