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Finding the Third Proportional to 1,577,289 and 3,351,459

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Solution

The third proportional to 1,577,289 and 3,351,459 is: 7,121,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,289 : 3,351,459 = 3,351,459 : x
  2. Step 2: Convert to fraction form
    1,577,289/3,351,459 = 3,351,459/x
  3. Step 3: Cross multiply
    1,577,289x = 3,351,459 × 3,351,459
  4. Step 4: Simplify right side
    1,577,289x = 11,232,277,428,681
  5. Step 5: Solve for x
    x = 11,232,277,428,681/1,577,289
  6. Step 6: Final answer
    x = 7,121,255.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.