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Finding the Third Proportional to 774,430 and 1,138,852

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Solution

The third proportional to 774,430 and 1,138,852 is: 1,674,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,430 : 1,138,852 = 1,138,852 : x
  2. Step 2: Convert to fraction form
    774,430/1,138,852 = 1,138,852/x
  3. Step 3: Cross multiply
    774,430x = 1,138,852 × 1,138,852
  4. Step 4: Simplify right side
    774,430x = 1,296,983,877,904
  5. Step 5: Solve for x
    x = 1,296,983,877,904/774,430
  6. Step 6: Final answer
    x = 1,674,759.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.