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Finding the Third Proportional to 539,101,160 and 788,434,104

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Solution

The third proportional to 539,101,160 and 788,434,104 is: 1,153,082,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,101,160 : 788,434,104 = 788,434,104 : x
  2. Step 2: Convert to fraction form
    539,101,160/788,434,104 = 788,434,104/x
  3. Step 3: Cross multiply
    539,101,160x = 788,434,104 × 788,434,104
  4. Step 4: Simplify right side
    539,101,160x = 621,628,336,350,282,752
  5. Step 5: Solve for x
    x = 621,628,336,350,282,752/539,101,160
  6. Step 6: Final answer
    x = 1,153,082,913.70

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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.