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Finding the Third Proportional to 1,357,938 and 2,827,413

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Solution

The third proportional to 1,357,938 and 2,827,413 is: 5,887,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,938 : 2,827,413 = 2,827,413 : x
  2. Step 2: Convert to fraction form
    1,357,938/2,827,413 = 2,827,413/x
  3. Step 3: Cross multiply
    1,357,938x = 2,827,413 × 2,827,413
  4. Step 4: Simplify right side
    1,357,938x = 7,994,264,272,569
  5. Step 5: Solve for x
    x = 7,994,264,272,569/1,357,938
  6. Step 6: Final answer
    x = 5,887,061.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.