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Finding the Third Proportional to 501,089,354 and 766,610,607

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Solution

The third proportional to 501,089,354 and 766,610,607 is: 1,172,828,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,089,354 : 766,610,607 = 766,610,607 : x
  2. Step 2: Convert to fraction form
    501,089,354/766,610,607 = 766,610,607/x
  3. Step 3: Cross multiply
    501,089,354x = 766,610,607 × 766,610,607
  4. Step 4: Simplify right side
    501,089,354x = 587,691,822,764,908,416
  5. Step 5: Solve for x
    x = 587,691,822,764,908,416/501,089,354
  6. Step 6: Final answer
    x = 1,172,828,394.92

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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.