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Finding the Third Proportional to 2,935,926 and 4,290,597

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Solution

The third proportional to 2,935,926 and 4,290,597 is: 6,270,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935,926 : 4,290,597 = 4,290,597 : x
  2. Step 2: Convert to fraction form
    2,935,926/4,290,597 = 4,290,597/x
  3. Step 3: Cross multiply
    2,935,926x = 4,290,597 × 4,290,597
  4. Step 4: Simplify right side
    2,935,926x = 18,409,222,616,409
  5. Step 5: Solve for x
    x = 18,409,222,616,409/2,935,926
  6. Step 6: Final answer
    x = 6,270,329.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.