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Finding the Third Proportional to 816,705,076 and 1,255,334,200

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Solution

The third proportional to 816,705,076 and 1,255,334,200 is: 1,929,538,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,705,076 : 1,255,334,200 = 1,255,334,200 : x
  2. Step 2: Convert to fraction form
    816,705,076/1,255,334,200 = 1,255,334,200/x
  3. Step 3: Cross multiply
    816,705,076x = 1,255,334,200 × 1,255,334,200
  4. Step 4: Simplify right side
    816,705,076x = 1,575,863,953,689,639,936
  5. Step 5: Solve for x
    x = 1,575,863,953,689,639,936/816,705,076
  6. Step 6: Final answer
    x = 1,929,538,581.31

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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.