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Finding the Third Proportional to 1,428,315 and 2,974,998

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Solution

The third proportional to 1,428,315 and 2,974,998 is: 6,196,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,315 : 2,974,998 = 2,974,998 : x
  2. Step 2: Convert to fraction form
    1,428,315/2,974,998 = 2,974,998/x
  3. Step 3: Cross multiply
    1,428,315x = 2,974,998 × 2,974,998
  4. Step 4: Simplify right side
    1,428,315x = 8,850,613,100,004
  5. Step 5: Solve for x
    x = 8,850,613,100,004/1,428,315
  6. Step 6: Final answer
    x = 6,196,541.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.