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Finding the Third Proportional to 2,506,206 and 4,035,360

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Solution

The third proportional to 2,506,206 and 4,035,360 is: 6,497,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,206 : 4,035,360 = 4,035,360 : x
  2. Step 2: Convert to fraction form
    2,506,206/4,035,360 = 4,035,360/x
  3. Step 3: Cross multiply
    2,506,206x = 4,035,360 × 4,035,360
  4. Step 4: Simplify right side
    2,506,206x = 16,284,130,329,600
  5. Step 5: Solve for x
    x = 16,284,130,329,600/2,506,206
  6. Step 6: Final answer
    x = 6,497,522.68

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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.