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Finding the Third Proportional to 688,232,027 and 1,052,097,620

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Solution

The third proportional to 688,232,027 and 1,052,097,620 is: 1,608,337,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,232,027 : 1,052,097,620 = 1,052,097,620 : x
  2. Step 2: Convert to fraction form
    688,232,027/1,052,097,620 = 1,052,097,620/x
  3. Step 3: Cross multiply
    688,232,027x = 1,052,097,620 × 1,052,097,620
  4. Step 4: Simplify right side
    688,232,027x = 1,106,909,402,009,664,384
  5. Step 5: Solve for x
    x = 1,106,909,402,009,664,384/688,232,027
  6. Step 6: Final answer
    x = 1,608,337,535.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.