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Finding the Third Proportional to 603,644,284 and 1,293,342,680

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Solution

The third proportional to 603,644,284 and 1,293,342,680 is: 2,771,061,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,644,284 : 1,293,342,680 = 1,293,342,680 : x
  2. Step 2: Convert to fraction form
    603,644,284/1,293,342,680 = 1,293,342,680/x
  3. Step 3: Cross multiply
    603,644,284x = 1,293,342,680 × 1,293,342,680
  4. Step 4: Simplify right side
    603,644,284x = 1,672,735,287,909,582,336
  5. Step 5: Solve for x
    x = 1,672,735,287,909,582,336/603,644,284
  6. Step 6: Final answer
    x = 2,771,061,256.18

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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.