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Finding the Third Proportional to 565,570 and 1,333,966

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Solution

The third proportional to 565,570 and 1,333,966 is: 3,146,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,570 : 1,333,966 = 1,333,966 : x
  2. Step 2: Convert to fraction form
    565,570/1,333,966 = 1,333,966/x
  3. Step 3: Cross multiply
    565,570x = 1,333,966 × 1,333,966
  4. Step 4: Simplify right side
    565,570x = 1,779,465,289,156
  5. Step 5: Solve for x
    x = 1,779,465,289,156/565,570
  6. Step 6: Final answer
    x = 3,146,321.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.