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Finding the Third Proportional to 728,070 and 1,139,638

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Solution

The third proportional to 728,070 and 1,139,638 is: 1,783,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,070 : 1,139,638 = 1,139,638 : x
  2. Step 2: Convert to fraction form
    728,070/1,139,638 = 1,139,638/x
  3. Step 3: Cross multiply
    728,070x = 1,139,638 × 1,139,638
  4. Step 4: Simplify right side
    728,070x = 1,298,774,771,044
  5. Step 5: Solve for x
    x = 1,298,774,771,044/728,070
  6. Step 6: Final answer
    x = 1,783,859.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.