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Finding the Third Proportional to 958,097 and 1,502,972

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Solution

The third proportional to 958,097 and 1,502,972 is: 2,357,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,097 : 1,502,972 = 1,502,972 : x
  2. Step 2: Convert to fraction form
    958,097/1,502,972 = 1,502,972/x
  3. Step 3: Cross multiply
    958,097x = 1,502,972 × 1,502,972
  4. Step 4: Simplify right side
    958,097x = 2,258,924,832,784
  5. Step 5: Solve for x
    x = 2,258,924,832,784/958,097
  6. Step 6: Final answer
    x = 2,357,720.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.