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Finding the Third Proportional to 459,392,878 and 706,120,072

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Solution

The third proportional to 459,392,878 and 706,120,072 is: 1,085,357,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,878 : 706,120,072 = 706,120,072 : x
  2. Step 2: Convert to fraction form
    459,392,878/706,120,072 = 706,120,072/x
  3. Step 3: Cross multiply
    459,392,878x = 706,120,072 × 706,120,072
  4. Step 4: Simplify right side
    459,392,878x = 498,605,556,081,285,184
  5. Step 5: Solve for x
    x = 498,605,556,081,285,184/459,392,878
  6. Step 6: Final answer
    x = 1,085,357,609.92

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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.