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Finding the Third Proportional to 464,920 and 1,018,276

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Solution

The third proportional to 464,920 and 1,018,276 is: 2,230,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,920 : 1,018,276 = 1,018,276 : x
  2. Step 2: Convert to fraction form
    464,920/1,018,276 = 1,018,276/x
  3. Step 3: Cross multiply
    464,920x = 1,018,276 × 1,018,276
  4. Step 4: Simplify right side
    464,920x = 1,036,886,012,176
  5. Step 5: Solve for x
    x = 1,036,886,012,176/464,920
  6. Step 6: Final answer
    x = 2,230,246.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.