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Finding the Third Proportional to 1,139,705,732 and 1,702,849,542

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Solution

The third proportional to 1,139,705,732 and 1,702,849,542 is: 2,544,250,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,705,732 : 1,702,849,542 = 1,702,849,542 : x
  2. Step 2: Convert to fraction form
    1,139,705,732/1,702,849,542 = 1,702,849,542/x
  3. Step 3: Cross multiply
    1,139,705,732x = 1,702,849,542 × 1,702,849,542
  4. Step 4: Simplify right side
    1,139,705,732x = 2,899,696,562,689,609,728
  5. Step 5: Solve for x
    x = 2,899,696,562,689,609,728/1,139,705,732
  6. Step 6: Final answer
    x = 2,544,250,222.91

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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.