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Finding the Third Proportional to 637,197 and 977,910

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Solution

The third proportional to 637,197 and 977,910 is: 1,500,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,197 : 977,910 = 977,910 : x
  2. Step 2: Convert to fraction form
    637,197/977,910 = 977,910/x
  3. Step 3: Cross multiply
    637,197x = 977,910 × 977,910
  4. Step 4: Simplify right side
    637,197x = 956,307,968,100
  5. Step 5: Solve for x
    x = 956,307,968,100/637,197
  6. Step 6: Final answer
    x = 1,500,804.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.