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Finding the Third Proportional to 970,627 and 1,501,367

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Solution

The third proportional to 970,627 and 1,501,367 is: 2,322,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,627 : 1,501,367 = 1,501,367 : x
  2. Step 2: Convert to fraction form
    970,627/1,501,367 = 1,501,367/x
  3. Step 3: Cross multiply
    970,627x = 1,501,367 × 1,501,367
  4. Step 4: Simplify right side
    970,627x = 2,254,102,868,689
  5. Step 5: Solve for x
    x = 2,254,102,868,689/970,627
  6. Step 6: Final answer
    x = 2,322,316.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.