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Finding the Third Proportional to 1,435,212 and 2,312,478

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Solution

The third proportional to 1,435,212 and 2,312,478 is: 3,725,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,212 : 2,312,478 = 2,312,478 : x
  2. Step 2: Convert to fraction form
    1,435,212/2,312,478 = 2,312,478/x
  3. Step 3: Cross multiply
    1,435,212x = 2,312,478 × 2,312,478
  4. Step 4: Simplify right side
    1,435,212x = 5,347,554,500,484
  5. Step 5: Solve for x
    x = 5,347,554,500,484/1,435,212
  6. Step 6: Final answer
    x = 3,725,968.36

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.