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Finding the Third Proportional to 575,666,696 and 884,294,458.75

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Solution

The third proportional to 575,666,696 and 884,294,458.75 is: 1,358,384,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,666,696 : 884,294,458.75 = 884,294,458.75 : x
  2. Step 2: Convert to fraction form
    575,666,696/884,294,458.75 = 884,294,458.75/x
  3. Step 3: Cross multiply
    575,666,696x = 884,294,458.75 × 884,294,458.75
  4. Step 4: Simplify right side
    575,666,696x = 781,976,689,775,955,456
  5. Step 5: Solve for x
    x = 781,976,689,775,955,456/575,666,696
  6. Step 6: Final answer
    x = 1,358,384,452.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.