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Finding the Third Proportional to 736,134 and 1,588,258

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Solution

The third proportional to 736,134 and 1,588,258 is: 3,426,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,134 : 1,588,258 = 1,588,258 : x
  2. Step 2: Convert to fraction form
    736,134/1,588,258 = 1,588,258/x
  3. Step 3: Cross multiply
    736,134x = 1,588,258 × 1,588,258
  4. Step 4: Simplify right side
    736,134x = 2,522,563,474,564
  5. Step 5: Solve for x
    x = 2,522,563,474,564/736,134
  6. Step 6: Final answer
    x = 3,426,772.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.