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Finding the Third Proportional to 701,852 and 977,888

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Solution

The third proportional to 701,852 and 977,888 is: 1,362,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,852 : 977,888 = 977,888 : x
  2. Step 2: Convert to fraction form
    701,852/977,888 = 977,888/x
  3. Step 3: Cross multiply
    701,852x = 977,888 × 977,888
  4. Step 4: Simplify right side
    701,852x = 956,264,940,544
  5. Step 5: Solve for x
    x = 956,264,940,544/701,852
  6. Step 6: Final answer
    x = 1,362,488.02

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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.