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Finding the Third Proportional to 448,798 and 960,637

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Solution

The third proportional to 448,798 and 960,637 is: 2,056,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,798 : 960,637 = 960,637 : x
  2. Step 2: Convert to fraction form
    448,798/960,637 = 960,637/x
  3. Step 3: Cross multiply
    448,798x = 960,637 × 960,637
  4. Step 4: Simplify right side
    448,798x = 922,823,445,769
  5. Step 5: Solve for x
    x = 922,823,445,769/448,798
  6. Step 6: Final answer
    x = 2,056,211.14

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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.