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Finding the Third Proportional to 452,734,890 and 970,010,340

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Solution

The third proportional to 452,734,890 and 970,010,340 is: 2,078,302,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,734,890 : 970,010,340 = 970,010,340 : x
  2. Step 2: Convert to fraction form
    452,734,890/970,010,340 = 970,010,340/x
  3. Step 3: Cross multiply
    452,734,890x = 970,010,340 × 970,010,340
  4. Step 4: Simplify right side
    452,734,890x = 940,920,059,706,915,584
  5. Step 5: Solve for x
    x = 940,920,059,706,915,584/452,734,890
  6. Step 6: Final answer
    x = 2,078,302,513.21

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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.