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Finding the Third Proportional to 2,130,348 and 2,996,476

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Solution

The third proportional to 2,130,348 and 2,996,476 is: 4,214,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,348 : 2,996,476 = 2,996,476 : x
  2. Step 2: Convert to fraction form
    2,130,348/2,996,476 = 2,996,476/x
  3. Step 3: Cross multiply
    2,130,348x = 2,996,476 × 2,996,476
  4. Step 4: Simplify right side
    2,130,348x = 8,978,868,418,576
  5. Step 5: Solve for x
    x = 8,978,868,418,576/2,130,348
  6. Step 6: Final answer
    x = 4,214,742.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.