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Finding the Third Proportional to 688,232,023 and 1,052,097,614

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Solution

The third proportional to 688,232,023 and 1,052,097,614 is: 1,608,337,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,232,023 : 1,052,097,614 = 1,052,097,614 : x
  2. Step 2: Convert to fraction form
    688,232,023/1,052,097,614 = 1,052,097,614/x
  3. Step 3: Cross multiply
    688,232,023x = 1,052,097,614 × 1,052,097,614
  4. Step 4: Simplify right side
    688,232,023x = 1,106,909,389,384,493,056
  5. Step 5: Solve for x
    x = 1,106,909,389,384,493,056/688,232,023
  6. Step 6: Final answer
    x = 1,608,337,526.29

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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.