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Finding the Third Proportional to 675,382,112 and 1,009,097,202

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Solution

The third proportional to 675,382,112 and 1,009,097,202 is: 1,507,705,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,382,112 : 1,009,097,202 = 1,009,097,202 : x
  2. Step 2: Convert to fraction form
    675,382,112/1,009,097,202 = 1,009,097,202/x
  3. Step 3: Cross multiply
    675,382,112x = 1,009,097,202 × 1,009,097,202
  4. Step 4: Simplify right side
    675,382,112x = 1,018,277,163,084,228,864
  5. Step 5: Solve for x
    x = 1,018,277,163,084,228,864/675,382,112
  6. Step 6: Final answer
    x = 1,507,705,260.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.