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Finding the Third Proportional to 967,294 and 2,077,290

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Solution

The third proportional to 967,294 and 2,077,290 is: 4,461,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,294 : 2,077,290 = 2,077,290 : x
  2. Step 2: Convert to fraction form
    967,294/2,077,290 = 2,077,290/x
  3. Step 3: Cross multiply
    967,294x = 2,077,290 × 2,077,290
  4. Step 4: Simplify right side
    967,294x = 4,315,133,744,100
  5. Step 5: Solve for x
    x = 4,315,133,744,100/967,294
  6. Step 6: Final answer
    x = 4,461,036.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.