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Finding the Third Proportional to 612,799,380 and 1,310,795,376

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Solution

The third proportional to 612,799,380 and 1,310,795,376 is: 2,803,828,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,799,380 : 1,310,795,376 = 1,310,795,376 : x
  2. Step 2: Convert to fraction form
    612,799,380/1,310,795,376 = 1,310,795,376/x
  3. Step 3: Cross multiply
    612,799,380x = 1,310,795,376 × 1,310,795,376
  4. Step 4: Simplify right side
    612,799,380x = 1,718,184,517,742,981,376
  5. Step 5: Solve for x
    x = 1,718,184,517,742,981,376/612,799,380
  6. Step 6: Final answer
    x = 2,803,828,746.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.