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Finding the Third Proportional to 466,155 and 1,020,897

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Solution

The third proportional to 466,155 and 1,020,897 is: 2,235,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,155 : 1,020,897 = 1,020,897 : x
  2. Step 2: Convert to fraction form
    466,155/1,020,897 = 1,020,897/x
  3. Step 3: Cross multiply
    466,155x = 1,020,897 × 1,020,897
  4. Step 4: Simplify right side
    466,155x = 1,042,230,684,609
  5. Step 5: Solve for x
    x = 1,042,230,684,609/466,155
  6. Step 6: Final answer
    x = 2,235,802.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.