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Finding the Third Proportional to 585,938 and 1,254,820

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Solution

The third proportional to 585,938 and 1,254,820 is: 2,687,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,938 : 1,254,820 = 1,254,820 : x
  2. Step 2: Convert to fraction form
    585,938/1,254,820 = 1,254,820/x
  3. Step 3: Cross multiply
    585,938x = 1,254,820 × 1,254,820
  4. Step 4: Simplify right side
    585,938x = 1,574,573,232,400
  5. Step 5: Solve for x
    x = 1,574,573,232,400/585,938
  6. Step 6: Final answer
    x = 2,687,269.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.