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Finding the Third Proportional to 869,018 and 1,272,417

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Solution

The third proportional to 869,018 and 1,272,417 is: 1,863,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,018 : 1,272,417 = 1,272,417 : x
  2. Step 2: Convert to fraction form
    869,018/1,272,417 = 1,272,417/x
  3. Step 3: Cross multiply
    869,018x = 1,272,417 × 1,272,417
  4. Step 4: Simplify right side
    869,018x = 1,619,045,021,889
  5. Step 5: Solve for x
    x = 1,619,045,021,889/869,018
  6. Step 6: Final answer
    x = 1,863,074.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.