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Finding the Third Proportional to 970,899 and 1,507,470

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Solution

The third proportional to 970,899 and 1,507,470 is: 2,340,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,899 : 1,507,470 = 1,507,470 : x
  2. Step 2: Convert to fraction form
    970,899/1,507,470 = 1,507,470/x
  3. Step 3: Cross multiply
    970,899x = 1,507,470 × 1,507,470
  4. Step 4: Simplify right side
    970,899x = 2,272,465,800,900
  5. Step 5: Solve for x
    x = 2,272,465,800,900/970,899
  6. Step 6: Final answer
    x = 2,340,578.99

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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.