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Finding the Third Proportional to 470,829,867 and 775,270,623

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Solution

The third proportional to 470,829,867 and 775,270,623 is: 1,276,564,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,829,867 : 775,270,623 = 775,270,623 : x
  2. Step 2: Convert to fraction form
    470,829,867/775,270,623 = 775,270,623/x
  3. Step 3: Cross multiply
    470,829,867x = 775,270,623 × 775,270,623
  4. Step 4: Simplify right side
    470,829,867x = 601,044,538,886,808,192
  5. Step 5: Solve for x
    x = 601,044,538,886,808,192/470,829,867
  6. Step 6: Final answer
    x = 1,276,564,171.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.