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Finding the Third Proportional to 706,250 and 1,569,419

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Solution

The third proportional to 706,250 and 1,569,419 is: 3,487,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,250 : 1,569,419 = 1,569,419 : x
  2. Step 2: Convert to fraction form
    706,250/1,569,419 = 1,569,419/x
  3. Step 3: Cross multiply
    706,250x = 1,569,419 × 1,569,419
  4. Step 4: Simplify right side
    706,250x = 2,463,075,997,561
  5. Step 5: Solve for x
    x = 2,463,075,997,561/706,250
  6. Step 6: Final answer
    x = 3,487,541.24

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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.