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Finding the Third Proportional to 701,854 and 977,891

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Solution

The third proportional to 701,854 and 977,891 is: 1,362,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,854 : 977,891 = 977,891 : x
  2. Step 2: Convert to fraction form
    701,854/977,891 = 977,891/x
  3. Step 3: Cross multiply
    701,854x = 977,891 × 977,891
  4. Step 4: Simplify right side
    701,854x = 956,270,807,881
  5. Step 5: Solve for x
    x = 956,270,807,881/701,854
  6. Step 6: Final answer
    x = 1,362,492.50

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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.