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Finding the Third Proportional to 970,908 and 1,507,482

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Solution

The third proportional to 970,908 and 1,507,482 is: 2,340,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,908 : 1,507,482 = 1,507,482 : x
  2. Step 2: Convert to fraction form
    970,908/1,507,482 = 1,507,482/x
  3. Step 3: Cross multiply
    970,908x = 1,507,482 × 1,507,482
  4. Step 4: Simplify right side
    970,908x = 2,272,501,980,324
  5. Step 5: Solve for x
    x = 2,272,501,980,324/970,908
  6. Step 6: Final answer
    x = 2,340,594.56

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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.