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Finding the Third Proportional to 611,862 and 1,312,294

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Solution

The third proportional to 611,862 and 1,312,294 is: 2,814,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,862 : 1,312,294 = 1,312,294 : x
  2. Step 2: Convert to fraction form
    611,862/1,312,294 = 1,312,294/x
  3. Step 3: Cross multiply
    611,862x = 1,312,294 × 1,312,294
  4. Step 4: Simplify right side
    611,862x = 1,722,115,542,436
  5. Step 5: Solve for x
    x = 1,722,115,542,436/611,862
  6. Step 6: Final answer
    x = 2,814,548.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.