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Finding the Third Proportional to 2,989,314 and 6,539,724

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Solution

The third proportional to 2,989,314 and 6,539,724 is: 14,306,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,314 : 6,539,724 = 6,539,724 : x
  2. Step 2: Convert to fraction form
    2,989,314/6,539,724 = 6,539,724/x
  3. Step 3: Cross multiply
    2,989,314x = 6,539,724 × 6,539,724
  4. Step 4: Simplify right side
    2,989,314x = 42,767,989,996,176
  5. Step 5: Solve for x
    x = 42,767,989,996,176/2,989,314
  6. Step 6: Final answer
    x = 14,306,958.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.