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Finding the Third Proportional to 1,136,451 and 2,312,070

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Solution

The third proportional to 1,136,451 and 2,312,070 is: 4,703,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,451 : 2,312,070 = 2,312,070 : x
  2. Step 2: Convert to fraction form
    1,136,451/2,312,070 = 2,312,070/x
  3. Step 3: Cross multiply
    1,136,451x = 2,312,070 × 2,312,070
  4. Step 4: Simplify right side
    1,136,451x = 5,345,667,684,900
  5. Step 5: Solve for x
    x = 5,345,667,684,900/1,136,451
  6. Step 6: Final answer
    x = 4,703,825.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.