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Finding the Third Proportional to 1,258,504,159 and 1,749,849,437

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Solution

The third proportional to 1,258,504,159 and 1,749,849,437 is: 2,433,025,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,504,159 : 1,749,849,437 = 1,749,849,437 : x
  2. Step 2: Convert to fraction form
    1,258,504,159/1,749,849,437 = 1,749,849,437/x
  3. Step 3: Cross multiply
    1,258,504,159x = 1,749,849,437 × 1,749,849,437
  4. Step 4: Simplify right side
    1,258,504,159x = 3,061,973,052,169,217,024
  5. Step 5: Solve for x
    x = 3,061,973,052,169,217,024/1,258,504,159
  6. Step 6: Final answer
    x = 2,433,025,771.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.