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Finding the Third Proportional to 746,862 and 1,073,637

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Solution

The third proportional to 746,862 and 1,073,637 is: 1,543,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,862 : 1,073,637 = 1,073,637 : x
  2. Step 2: Convert to fraction form
    746,862/1,073,637 = 1,073,637/x
  3. Step 3: Cross multiply
    746,862x = 1,073,637 × 1,073,637
  4. Step 4: Simplify right side
    746,862x = 1,152,696,407,769
  5. Step 5: Solve for x
    x = 1,152,696,407,769/746,862
  6. Step 6: Final answer
    x = 1,543,386.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.