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Finding the Third Proportional to 1,058,085 and 1,512,459

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Solution

The third proportional to 1,058,085 and 1,512,459 is: 2,161,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,085 : 1,512,459 = 1,512,459 : x
  2. Step 2: Convert to fraction form
    1,058,085/1,512,459 = 1,512,459/x
  3. Step 3: Cross multiply
    1,058,085x = 1,512,459 × 1,512,459
  4. Step 4: Simplify right side
    1,058,085x = 2,287,532,226,681
  5. Step 5: Solve for x
    x = 2,287,532,226,681/1,058,085
  6. Step 6: Final answer
    x = 2,161,955.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.