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Finding the Third Proportional to 970,875 and 1,456,313

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Solution

The third proportional to 970,875 and 1,456,313 is: 2,184,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,875 : 1,456,313 = 1,456,313 : x
  2. Step 2: Convert to fraction form
    970,875/1,456,313 = 1,456,313/x
  3. Step 3: Cross multiply
    970,875x = 1,456,313 × 1,456,313
  4. Step 4: Simplify right side
    970,875x = 2,120,847,553,969
  5. Step 5: Solve for x
    x = 2,120,847,553,969/970,875
  6. Step 6: Final answer
    x = 2,184,470.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.