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Finding the Third Proportional to 501,089,352 and 766,610,604

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Solution

The third proportional to 501,089,352 and 766,610,604 is: 1,172,828,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,089,352 : 766,610,604 = 766,610,604 : x
  2. Step 2: Convert to fraction form
    501,089,352/766,610,604 = 766,610,604/x
  3. Step 3: Cross multiply
    501,089,352x = 766,610,604 × 766,610,604
  4. Step 4: Simplify right side
    501,089,352x = 587,691,818,165,244,800
  5. Step 5: Solve for x
    x = 587,691,818,165,244,800/501,089,352
  6. Step 6: Final answer
    x = 1,172,828,390.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.