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Finding the Third Proportional to 945,968.63 and 1,417,565.81

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Solution

The third proportional to 945,968.63 and 1,417,565.81 is: 2,124,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,968.63 : 1,417,565.81 = 1,417,565.81 : x
  2. Step 2: Convert to fraction form
    945,968.63/1,417,565.81 = 1,417,565.81/x
  3. Step 3: Cross multiply
    945,968.63x = 1,417,565.81 × 1,417,565.81
  4. Step 4: Simplify right side
    945,968.63x = 2,009,492,832,768.79
  5. Step 5: Solve for x
    x = 2,009,492,832,768.79/945,968.63
  6. Step 6: Final answer
    x = 2,124,270.07

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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.