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Finding the Third Proportional to 922,601 and 1,298,658

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Solution

The third proportional to 922,601 and 1,298,658 is: 1,827,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,601 : 1,298,658 = 1,298,658 : x
  2. Step 2: Convert to fraction form
    922,601/1,298,658 = 1,298,658/x
  3. Step 3: Cross multiply
    922,601x = 1,298,658 × 1,298,658
  4. Step 4: Simplify right side
    922,601x = 1,686,512,600,964
  5. Step 5: Solve for x
    x = 1,686,512,600,964/922,601
  6. Step 6: Final answer
    x = 1,827,997.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.