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Finding the Third Proportional to 2,506,432 and 5,298,596

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Solution

The third proportional to 2,506,432 and 5,298,596 is: 11,201,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,432 : 5,298,596 = 5,298,596 : x
  2. Step 2: Convert to fraction form
    2,506,432/5,298,596 = 5,298,596/x
  3. Step 3: Cross multiply
    2,506,432x = 5,298,596 × 5,298,596
  4. Step 4: Simplify right side
    2,506,432x = 28,075,119,571,216
  5. Step 5: Solve for x
    x = 28,075,119,571,216/2,506,432
  6. Step 6: Final answer
    x = 11,201,229.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.