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Finding the Third Proportional to 934,680 and 1,464,300

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Solution

The third proportional to 934,680 and 1,464,300 is: 2,294,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,680 : 1,464,300 = 1,464,300 : x
  2. Step 2: Convert to fraction form
    934,680/1,464,300 = 1,464,300/x
  3. Step 3: Cross multiply
    934,680x = 1,464,300 × 1,464,300
  4. Step 4: Simplify right side
    934,680x = 2,144,174,490,000
  5. Step 5: Solve for x
    x = 2,144,174,490,000/934,680
  6. Step 6: Final answer
    x = 2,294,019.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.