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Finding the Third Proportional to 969,416 and 2,070,776

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Solution

The third proportional to 969,416 and 2,070,776 is: 4,423,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,416 : 2,070,776 = 2,070,776 : x
  2. Step 2: Convert to fraction form
    969,416/2,070,776 = 2,070,776/x
  3. Step 3: Cross multiply
    969,416x = 2,070,776 × 2,070,776
  4. Step 4: Simplify right side
    969,416x = 4,288,113,242,176
  5. Step 5: Solve for x
    x = 4,288,113,242,176/969,416
  6. Step 6: Final answer
    x = 4,423,398.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.