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Finding the Third Proportional to 1,158,138 and 1,746,321

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Solution

The third proportional to 1,158,138 and 1,746,321 is: 2,633,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,138 : 1,746,321 = 1,746,321 : x
  2. Step 2: Convert to fraction form
    1,158,138/1,746,321 = 1,746,321/x
  3. Step 3: Cross multiply
    1,158,138x = 1,746,321 × 1,746,321
  4. Step 4: Simplify right side
    1,158,138x = 3,049,637,035,041
  5. Step 5: Solve for x
    x = 3,049,637,035,041/1,158,138
  6. Step 6: Final answer
    x = 2,633,224.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.