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Finding the Third Proportional to 970,284 and 1,475,010

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Solution

The third proportional to 970,284 and 1,475,010 is: 2,242,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,284 : 1,475,010 = 1,475,010 : x
  2. Step 2: Convert to fraction form
    970,284/1,475,010 = 1,475,010/x
  3. Step 3: Cross multiply
    970,284x = 1,475,010 × 1,475,010
  4. Step 4: Simplify right side
    970,284x = 2,175,654,500,100
  5. Step 5: Solve for x
    x = 2,175,654,500,100/970,284
  6. Step 6: Final answer
    x = 2,242,286.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.