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Finding the Third Proportional to 964,428 and 2,074,018

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Solution

The third proportional to 964,428 and 2,074,018 is: 4,460,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,428 : 2,074,018 = 2,074,018 : x
  2. Step 2: Convert to fraction form
    964,428/2,074,018 = 2,074,018/x
  3. Step 3: Cross multiply
    964,428x = 2,074,018 × 2,074,018
  4. Step 4: Simplify right side
    964,428x = 4,301,550,664,324
  5. Step 5: Solve for x
    x = 4,301,550,664,324/964,428
  6. Step 6: Final answer
    x = 4,460,209.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.