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Finding the Third Proportional to 686,925 and 1,010,511

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Solution

The third proportional to 686,925 and 1,010,511 is: 1,486,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,925 : 1,010,511 = 1,010,511 : x
  2. Step 2: Convert to fraction form
    686,925/1,010,511 = 1,010,511/x
  3. Step 3: Cross multiply
    686,925x = 1,010,511 × 1,010,511
  4. Step 4: Simplify right side
    686,925x = 1,021,132,481,121
  5. Step 5: Solve for x
    x = 1,021,132,481,121/686,925
  6. Step 6: Final answer
    x = 1,486,526.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.