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Finding the Third Proportional to 1,104,578,944 and 1,715,069,386

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Solution

The third proportional to 1,104,578,944 and 1,715,069,386 is: 2,662,972,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,578,944 : 1,715,069,386 = 1,715,069,386 : x
  2. Step 2: Convert to fraction form
    1,104,578,944/1,715,069,386 = 1,715,069,386/x
  3. Step 3: Cross multiply
    1,104,578,944x = 1,715,069,386 × 1,715,069,386
  4. Step 4: Simplify right side
    1,104,578,944x = 2,941,462,998,794,417,152
  5. Step 5: Solve for x
    x = 2,941,462,998,794,417,152/1,104,578,944
  6. Step 6: Final answer
    x = 2,662,972,180.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.