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Finding the Third Proportional to 2,506,216 and 4,035,376

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Solution

The third proportional to 2,506,216 and 4,035,376 is: 6,497,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,216 : 4,035,376 = 4,035,376 : x
  2. Step 2: Convert to fraction form
    2,506,216/4,035,376 = 4,035,376/x
  3. Step 3: Cross multiply
    2,506,216x = 4,035,376 × 4,035,376
  4. Step 4: Simplify right side
    2,506,216x = 16,284,259,461,376
  5. Step 5: Solve for x
    x = 16,284,259,461,376/2,506,216
  6. Step 6: Final answer
    x = 6,497,548.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.