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Finding the Third Proportional to 705,513 and 1,551,487

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Solution

The third proportional to 705,513 and 1,551,487 is: 3,411,860.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,513 : 1,551,487 = 1,551,487 : x
  2. Step 2: Convert to fraction form
    705,513/1,551,487 = 1,551,487/x
  3. Step 3: Cross multiply
    705,513x = 1,551,487 × 1,551,487
  4. Step 4: Simplify right side
    705,513x = 2,407,111,911,169
  5. Step 5: Solve for x
    x = 2,407,111,911,169/705,513
  6. Step 6: Final answer
    x = 3,411,860.46

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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.