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Finding the Third Proportional to 1,105,512 and 1,657,943

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Solution

The third proportional to 1,105,512 and 1,657,943 is: 2,486,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,512 : 1,657,943 = 1,657,943 : x
  2. Step 2: Convert to fraction form
    1,105,512/1,657,943 = 1,657,943/x
  3. Step 3: Cross multiply
    1,105,512x = 1,657,943 × 1,657,943
  4. Step 4: Simplify right side
    1,105,512x = 2,748,774,991,249
  5. Step 5: Solve for x
    x = 2,748,774,991,249/1,105,512
  6. Step 6: Final answer
    x = 2,486,427.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.