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Finding the Third Proportional to 270,518,719 and 590,843,417

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Solution

The third proportional to 270,518,719 and 590,843,417 is: 1,290,468,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,518,719 : 590,843,417 = 590,843,417 : x
  2. Step 2: Convert to fraction form
    270,518,719/590,843,417 = 590,843,417/x
  3. Step 3: Cross multiply
    270,518,719x = 590,843,417 × 590,843,417
  4. Step 4: Simplify right side
    270,518,719x = 349,095,943,412,235,904
  5. Step 5: Solve for x
    x = 349,095,943,412,235,904/270,518,719
  6. Step 6: Final answer
    x = 1,290,468,713.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.