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Finding the Third Proportional to 780,234 and 1,676,862

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Solution

The third proportional to 780,234 and 1,676,862 is: 3,603,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,234 : 1,676,862 = 1,676,862 : x
  2. Step 2: Convert to fraction form
    780,234/1,676,862 = 1,676,862/x
  3. Step 3: Cross multiply
    780,234x = 1,676,862 × 1,676,862
  4. Step 4: Simplify right side
    780,234x = 2,811,866,167,044
  5. Step 5: Solve for x
    x = 2,811,866,167,044/780,234
  6. Step 6: Final answer
    x = 3,603,875.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.