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Finding the Third Proportional to 1,065,006 and 1,608,597

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Solution

The third proportional to 1,065,006 and 1,608,597 is: 2,429,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,006 : 1,608,597 = 1,608,597 : x
  2. Step 2: Convert to fraction form
    1,065,006/1,608,597 = 1,608,597/x
  3. Step 3: Cross multiply
    1,065,006x = 1,608,597 × 1,608,597
  4. Step 4: Simplify right side
    1,065,006x = 2,587,584,308,409
  5. Step 5: Solve for x
    x = 2,587,584,308,409/1,065,006
  6. Step 6: Final answer
    x = 2,429,642.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.