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Finding the Third Proportional to 448,864 and 960,776

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Solution

The third proportional to 448,864 and 960,776 is: 2,056,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,864 : 960,776 = 960,776 : x
  2. Step 2: Convert to fraction form
    448,864/960,776 = 960,776/x
  3. Step 3: Cross multiply
    448,864x = 960,776 × 960,776
  4. Step 4: Simplify right side
    448,864x = 923,090,522,176
  5. Step 5: Solve for x
    x = 923,090,522,176/448,864
  6. Step 6: Final answer
    x = 2,056,503.80

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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.