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Finding the Third Proportional to 506,293 and 1,113,641

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Solution

The third proportional to 506,293 and 1,113,641 is: 2,449,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,293 : 1,113,641 = 1,113,641 : x
  2. Step 2: Convert to fraction form
    506,293/1,113,641 = 1,113,641/x
  3. Step 3: Cross multiply
    506,293x = 1,113,641 × 1,113,641
  4. Step 4: Simplify right side
    506,293x = 1,240,196,276,881
  5. Step 5: Solve for x
    x = 1,240,196,276,881/506,293
  6. Step 6: Final answer
    x = 2,449,562.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.