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Finding the Third Proportional to 668,814 and 1,010,352

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Solution

The third proportional to 668,814 and 1,010,352 is: 1,526,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,814 : 1,010,352 = 1,010,352 : x
  2. Step 2: Convert to fraction form
    668,814/1,010,352 = 1,010,352/x
  3. Step 3: Cross multiply
    668,814x = 1,010,352 × 1,010,352
  4. Step 4: Simplify right side
    668,814x = 1,020,811,163,904
  5. Step 5: Solve for x
    x = 1,020,811,163,904/668,814
  6. Step 6: Final answer
    x = 1,526,300.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.