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Finding the Third Proportional to 690,498 and 1,059,804

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Solution

The third proportional to 690,498 and 1,059,804 is: 1,626,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,498 : 1,059,804 = 1,059,804 : x
  2. Step 2: Convert to fraction form
    690,498/1,059,804 = 1,059,804/x
  3. Step 3: Cross multiply
    690,498x = 1,059,804 × 1,059,804
  4. Step 4: Simplify right side
    690,498x = 1,123,184,518,416
  5. Step 5: Solve for x
    x = 1,123,184,518,416/690,498
  6. Step 6: Final answer
    x = 1,626,629.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.