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Finding the Third Proportional to 613,492 and 1,256,730

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Solution

The third proportional to 613,492 and 1,256,730 is: 2,574,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,492 : 1,256,730 = 1,256,730 : x
  2. Step 2: Convert to fraction form
    613,492/1,256,730 = 1,256,730/x
  3. Step 3: Cross multiply
    613,492x = 1,256,730 × 1,256,730
  4. Step 4: Simplify right side
    613,492x = 1,579,370,292,900
  5. Step 5: Solve for x
    x = 1,579,370,292,900/613,492
  6. Step 6: Final answer
    x = 2,574,394.28

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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.