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Finding the Third Proportional to 1,051,029,768 and 1,478,203,047

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Solution

The third proportional to 1,051,029,768 and 1,478,203,047 is: 2,078,993,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,029,768 : 1,478,203,047 = 1,478,203,047 : x
  2. Step 2: Convert to fraction form
    1,051,029,768/1,478,203,047 = 1,478,203,047/x
  3. Step 3: Cross multiply
    1,051,029,768x = 1,478,203,047 × 1,478,203,047
  4. Step 4: Simplify right side
    1,051,029,768x = 2,185,084,248,160,084,224
  5. Step 5: Solve for x
    x = 2,185,084,248,160,084,224/1,051,029,768
  6. Step 6: Final answer
    x = 2,078,993,682.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.