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Finding the Third Proportional to 651,389 and 1,435,297

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Solution

The third proportional to 651,389 and 1,435,297 is: 3,162,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,389 : 1,435,297 = 1,435,297 : x
  2. Step 2: Convert to fraction form
    651,389/1,435,297 = 1,435,297/x
  3. Step 3: Cross multiply
    651,389x = 1,435,297 × 1,435,297
  4. Step 4: Simplify right side
    651,389x = 2,060,077,478,209
  5. Step 5: Solve for x
    x = 2,060,077,478,209/651,389
  6. Step 6: Final answer
    x = 3,162,591.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.