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Finding the Third Proportional to 459,392,969 and 706,120,208

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Solution

The third proportional to 459,392,969 and 706,120,208 is: 1,085,357,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,969 : 706,120,208 = 706,120,208 : x
  2. Step 2: Convert to fraction form
    459,392,969/706,120,208 = 706,120,208/x
  3. Step 3: Cross multiply
    459,392,969x = 706,120,208 × 706,120,208
  4. Step 4: Simplify right side
    459,392,969x = 498,605,748,145,963,264
  5. Step 5: Solve for x
    x = 498,605,748,145,963,264/459,392,969
  6. Step 6: Final answer
    x = 1,085,357,813.01

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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.