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Finding the Third Proportional to 501,537,216 and 774,665,568

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Solution

The third proportional to 501,537,216 and 774,665,568 is: 1,196,534,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,537,216 : 774,665,568 = 774,665,568 : x
  2. Step 2: Convert to fraction form
    501,537,216/774,665,568 = 774,665,568/x
  3. Step 3: Cross multiply
    501,537,216x = 774,665,568 × 774,665,568
  4. Step 4: Simplify right side
    501,537,216x = 600,106,742,244,762,624
  5. Step 5: Solve for x
    x = 600,106,742,244,762,624/501,537,216
  6. Step 6: Final answer
    x = 1,196,534,819.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.