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Finding the Third Proportional to 1,029,202,266 and 1,590,288,141

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Solution

The third proportional to 1,029,202,266 and 1,590,288,141 is: 2,457,258,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,202,266 : 1,590,288,141 = 1,590,288,141 : x
  2. Step 2: Convert to fraction form
    1,029,202,266/1,590,288,141 = 1,590,288,141/x
  3. Step 3: Cross multiply
    1,029,202,266x = 1,590,288,141 × 1,590,288,141
  4. Step 4: Simplify right side
    1,029,202,266x = 2,529,016,371,405,235,712
  5. Step 5: Solve for x
    x = 2,529,016,371,405,235,712/1,029,202,266
  6. Step 6: Final answer
    x = 2,457,258,844.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.