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Finding the Third Proportional to 701,858 and 977,897

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Solution

The third proportional to 701,858 and 977,897 is: 1,362,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,858 : 977,897 = 977,897 : x
  2. Step 2: Convert to fraction form
    701,858/977,897 = 977,897/x
  3. Step 3: Cross multiply
    701,858x = 977,897 × 977,897
  4. Step 4: Simplify right side
    701,858x = 956,282,542,609
  5. Step 5: Solve for x
    x = 956,282,542,609/701,858
  6. Step 6: Final answer
    x = 1,362,501.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.