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Finding the Third Proportional to 516,820,605.75 and 794,390,460.75

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Solution

The third proportional to 516,820,605.75 and 794,390,460.75 is: 1,221,035,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,820,605.75 : 794,390,460.75 = 794,390,460.75 : x
  2. Step 2: Convert to fraction form
    516,820,605.75/794,390,460.75 = 794,390,460.75/x
  3. Step 3: Cross multiply
    516,820,605.75x = 794,390,460.75 × 794,390,460.75
  4. Step 4: Simplify right side
    516,820,605.75x = 631,056,204,130,597,248
  5. Step 5: Solve for x
    x = 631,056,204,130,597,248/516,820,605.75
  6. Step 6: Final answer
    x = 1,221,035,301.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.