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Finding the Third Proportional to 675,045,441 and 1,014,365,470.50

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Solution

The third proportional to 675,045,441 and 1,014,365,470.50 is: 1,524,248,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,045,441 : 1,014,365,470.50 = 1,014,365,470.50 : x
  2. Step 2: Convert to fraction form
    675,045,441/1,014,365,470.50 = 1,014,365,470.50/x
  3. Step 3: Cross multiply
    675,045,441x = 1,014,365,470.50 × 1,014,365,470.50
  4. Step 4: Simplify right side
    675,045,441x = 1,028,937,307,742,686,336
  5. Step 5: Solve for x
    x = 1,028,937,307,742,686,336/675,045,441
  6. Step 6: Final answer
    x = 1,524,248,954.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.