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Finding the Third Proportional to 600,564 and 1,304,964

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Solution

The third proportional to 600,564 and 1,304,964 is: 2,835,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,564 : 1,304,964 = 1,304,964 : x
  2. Step 2: Convert to fraction form
    600,564/1,304,964 = 1,304,964/x
  3. Step 3: Cross multiply
    600,564x = 1,304,964 × 1,304,964
  4. Step 4: Simplify right side
    600,564x = 1,702,931,041,296
  5. Step 5: Solve for x
    x = 1,702,931,041,296/600,564
  6. Step 6: Final answer
    x = 2,835,552.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.