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Finding the Third Proportional to 500,701 and 1,113,348

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Solution

The third proportional to 500,701 and 1,113,348 is: 2,475,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,701 : 1,113,348 = 1,113,348 : x
  2. Step 2: Convert to fraction form
    500,701/1,113,348 = 1,113,348/x
  3. Step 3: Cross multiply
    500,701x = 1,113,348 × 1,113,348
  4. Step 4: Simplify right side
    500,701x = 1,239,543,769,104
  5. Step 5: Solve for x
    x = 1,239,543,769,104/500,701
  6. Step 6: Final answer
    x = 2,475,616.72

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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.