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Finding the Third Proportional to 913,270 and 1,458,465

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Solution

The third proportional to 913,270 and 1,458,465 is: 2,329,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,270 : 1,458,465 = 1,458,465 : x
  2. Step 2: Convert to fraction form
    913,270/1,458,465 = 1,458,465/x
  3. Step 3: Cross multiply
    913,270x = 1,458,465 × 1,458,465
  4. Step 4: Simplify right side
    913,270x = 2,127,120,156,225
  5. Step 5: Solve for x
    x = 2,127,120,156,225/913,270
  6. Step 6: Final answer
    x = 2,329,125.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.