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Finding the Third Proportional to 797,359,534 and 1,148,627,516

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Solution

The third proportional to 797,359,534 and 1,148,627,516 is: 1,654,642,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,359,534 : 1,148,627,516 = 1,148,627,516 : x
  2. Step 2: Convert to fraction form
    797,359,534/1,148,627,516 = 1,148,627,516/x
  3. Step 3: Cross multiply
    797,359,534x = 1,148,627,516 × 1,148,627,516
  4. Step 4: Simplify right side
    797,359,534x = 1,319,345,170,512,330,240
  5. Step 5: Solve for x
    x = 1,319,345,170,512,330,240/797,359,534
  6. Step 6: Final answer
    x = 1,654,642,748.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.