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Finding the Third Proportional to 662,584 and 1,430,072

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Solution

The third proportional to 662,584 and 1,430,072 is: 3,086,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,584 : 1,430,072 = 1,430,072 : x
  2. Step 2: Convert to fraction form
    662,584/1,430,072 = 1,430,072/x
  3. Step 3: Cross multiply
    662,584x = 1,430,072 × 1,430,072
  4. Step 4: Simplify right side
    662,584x = 2,045,105,925,184
  5. Step 5: Solve for x
    x = 2,045,105,925,184/662,584
  6. Step 6: Final answer
    x = 3,086,560.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.