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Finding the Third Proportional to 920,700 and 1,413,126

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Solution

The third proportional to 920,700 and 1,413,126 is: 2,168,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,700 : 1,413,126 = 1,413,126 : x
  2. Step 2: Convert to fraction form
    920,700/1,413,126 = 1,413,126/x
  3. Step 3: Cross multiply
    920,700x = 1,413,126 × 1,413,126
  4. Step 4: Simplify right side
    920,700x = 1,996,925,091,876
  5. Step 5: Solve for x
    x = 1,996,925,091,876/920,700
  6. Step 6: Final answer
    x = 2,168,920.49

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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.