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Finding the Third Proportional to 475,798 and 991,070

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Solution

The third proportional to 475,798 and 991,070 is: 2,064,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,798 : 991,070 = 991,070 : x
  2. Step 2: Convert to fraction form
    475,798/991,070 = 991,070/x
  3. Step 3: Cross multiply
    475,798x = 991,070 × 991,070
  4. Step 4: Simplify right side
    475,798x = 982,219,744,900
  5. Step 5: Solve for x
    x = 982,219,744,900/475,798
  6. Step 6: Final answer
    x = 2,064,362.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.