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Finding the Third Proportional to 2,128,416 and 3,130,380

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Solution

The third proportional to 2,128,416 and 3,130,380 is: 4,604,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,416 : 3,130,380 = 3,130,380 : x
  2. Step 2: Convert to fraction form
    2,128,416/3,130,380 = 3,130,380/x
  3. Step 3: Cross multiply
    2,128,416x = 3,130,380 × 3,130,380
  4. Step 4: Simplify right side
    2,128,416x = 9,799,278,944,400
  5. Step 5: Solve for x
    x = 9,799,278,944,400/2,128,416
  6. Step 6: Final answer
    x = 4,604,024.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.