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Finding the Third Proportional to 1,140,286 and 2,461,364

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Solution

The third proportional to 1,140,286 and 2,461,364 is: 5,312,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,286 : 2,461,364 = 2,461,364 : x
  2. Step 2: Convert to fraction form
    1,140,286/2,461,364 = 2,461,364/x
  3. Step 3: Cross multiply
    1,140,286x = 2,461,364 × 2,461,364
  4. Step 4: Simplify right side
    1,140,286x = 6,058,312,740,496
  5. Step 5: Solve for x
    x = 6,058,312,740,496/1,140,286
  6. Step 6: Final answer
    x = 5,312,976.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.