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Finding the Third Proportional to 614,492 and 1,258,502

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Solution

The third proportional to 614,492 and 1,258,502 is: 2,577,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,492 : 1,258,502 = 1,258,502 : x
  2. Step 2: Convert to fraction form
    614,492/1,258,502 = 1,258,502/x
  3. Step 3: Cross multiply
    614,492x = 1,258,502 × 1,258,502
  4. Step 4: Simplify right side
    614,492x = 1,583,827,284,004
  5. Step 5: Solve for x
    x = 1,583,827,284,004/614,492
  6. Step 6: Final answer
    x = 2,577,457.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.