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Finding the Third Proportional to 590,598 and 1,289,457

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Solution

The third proportional to 590,598 and 1,289,457 is: 2,815,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,598 : 1,289,457 = 1,289,457 : x
  2. Step 2: Convert to fraction form
    590,598/1,289,457 = 1,289,457/x
  3. Step 3: Cross multiply
    590,598x = 1,289,457 × 1,289,457
  4. Step 4: Simplify right side
    590,598x = 1,662,699,354,849
  5. Step 5: Solve for x
    x = 1,662,699,354,849/590,598
  6. Step 6: Final answer
    x = 2,815,281.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.