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Finding the Third Proportional to 819,154,944 and 1,198,076,076

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Solution

The third proportional to 819,154,944 and 1,198,076,076 is: 1,752,276,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,154,944 : 1,198,076,076 = 1,198,076,076 : x
  2. Step 2: Convert to fraction form
    819,154,944/1,198,076,076 = 1,198,076,076/x
  3. Step 3: Cross multiply
    819,154,944x = 1,198,076,076 × 1,198,076,076
  4. Step 4: Simplify right side
    819,154,944x = 1,435,386,283,883,557,888
  5. Step 5: Solve for x
    x = 1,435,386,283,883,557,888/819,154,944
  6. Step 6: Final answer
    x = 1,752,276,897.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.