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Finding the Third Proportional to 1,724,490 and 2,610,585

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Solution

The third proportional to 1,724,490 and 2,610,585 is: 3,951,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,490 : 2,610,585 = 2,610,585 : x
  2. Step 2: Convert to fraction form
    1,724,490/2,610,585 = 2,610,585/x
  3. Step 3: Cross multiply
    1,724,490x = 2,610,585 × 2,610,585
  4. Step 4: Simplify right side
    1,724,490x = 6,815,154,042,225
  5. Step 5: Solve for x
    x = 6,815,154,042,225/1,724,490
  6. Step 6: Final answer
    x = 3,951,982.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.