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Finding the Third Proportional to 593,688 and 1,400,025

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Solution

The third proportional to 593,688 and 1,400,025 is: 3,301,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,688 : 1,400,025 = 1,400,025 : x
  2. Step 2: Convert to fraction form
    593,688/1,400,025 = 1,400,025/x
  3. Step 3: Cross multiply
    593,688x = 1,400,025 × 1,400,025
  4. Step 4: Simplify right side
    593,688x = 1,960,070,000,625
  5. Step 5: Solve for x
    x = 1,960,070,000,625/593,688
  6. Step 6: Final answer
    x = 3,301,515.28

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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.