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Finding the Third Proportional to 432,567 and 1,010,637

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Solution

The third proportional to 432,567 and 1,010,637 is: 2,361,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,567 : 1,010,637 = 1,010,637 : x
  2. Step 2: Convert to fraction form
    432,567/1,010,637 = 1,010,637/x
  3. Step 3: Cross multiply
    432,567x = 1,010,637 × 1,010,637
  4. Step 4: Simplify right side
    432,567x = 1,021,387,145,769
  5. Step 5: Solve for x
    x = 1,021,387,145,769/432,567
  6. Step 6: Final answer
    x = 2,361,222.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.