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Finding the Third Proportional to 1,258,504,156 and 1,749,849,436

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Solution

The third proportional to 1,258,504,156 and 1,749,849,436 is: 2,433,025,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,504,156 : 1,749,849,436 = 1,749,849,436 : x
  2. Step 2: Convert to fraction form
    1,258,504,156/1,749,849,436 = 1,749,849,436/x
  3. Step 3: Cross multiply
    1,258,504,156x = 1,749,849,436 × 1,749,849,436
  4. Step 4: Simplify right side
    1,258,504,156x = 3,061,973,048,669,518,336
  5. Step 5: Solve for x
    x = 3,061,973,048,669,518,336/1,258,504,156
  6. Step 6: Final answer
    x = 2,433,025,774.35

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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.