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Finding the Third Proportional to 1,114,292 and 1,697,558

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Solution

The third proportional to 1,114,292 and 1,697,558 is: 2,586,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,292 : 1,697,558 = 1,697,558 : x
  2. Step 2: Convert to fraction form
    1,114,292/1,697,558 = 1,697,558/x
  3. Step 3: Cross multiply
    1,114,292x = 1,697,558 × 1,697,558
  4. Step 4: Simplify right side
    1,114,292x = 2,881,703,163,364
  5. Step 5: Solve for x
    x = 2,881,703,163,364/1,114,292
  6. Step 6: Final answer
    x = 2,586,129.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.