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Finding the Third Proportional to 464,768 and 1,014,820

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Solution

The third proportional to 464,768 and 1,014,820 is: 2,215,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,768 : 1,014,820 = 1,014,820 : x
  2. Step 2: Convert to fraction form
    464,768/1,014,820 = 1,014,820/x
  3. Step 3: Cross multiply
    464,768x = 1,014,820 × 1,014,820
  4. Step 4: Simplify right side
    464,768x = 1,029,859,632,400
  5. Step 5: Solve for x
    x = 1,029,859,632,400/464,768
  6. Step 6: Final answer
    x = 2,215,857.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.