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Finding the Third Proportional to 624,804,784 and 1,301,324,216

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Solution

The third proportional to 624,804,784 and 1,301,324,216 is: 2,710,358,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,804,784 : 1,301,324,216 = 1,301,324,216 : x
  2. Step 2: Convert to fraction form
    624,804,784/1,301,324,216 = 1,301,324,216/x
  3. Step 3: Cross multiply
    624,804,784x = 1,301,324,216 × 1,301,324,216
  4. Step 4: Simplify right side
    624,804,784x = 1,693,444,715,148,014,592
  5. Step 5: Solve for x
    x = 1,693,444,715,148,014,592/624,804,784
  6. Step 6: Final answer
    x = 2,710,358,112.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.