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Finding the Third Proportional to 690,237.70 and 1,413,929.67

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Solution

The third proportional to 690,237.70 and 1,413,929.67 is: 2,896,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,237.70 : 1,413,929.67 = 1,413,929.67 : x
  2. Step 2: Convert to fraction form
    690,237.70/1,413,929.67 = 1,413,929.67/x
  3. Step 3: Cross multiply
    690,237.70x = 1,413,929.67 × 1,413,929.67
  4. Step 4: Simplify right side
    690,237.70x = 1,999,197,117,008.55
  5. Step 5: Solve for x
    x = 1,999,197,117,008.55/690,237.70
  6. Step 6: Final answer
    x = 2,896,389.33

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.