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Finding the Third Proportional to 601,590 and 1,284,363

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Solution

The third proportional to 601,590 and 1,284,363 is: 2,742,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,590 : 1,284,363 = 1,284,363 : x
  2. Step 2: Convert to fraction form
    601,590/1,284,363 = 1,284,363/x
  3. Step 3: Cross multiply
    601,590x = 1,284,363 × 1,284,363
  4. Step 4: Simplify right side
    601,590x = 1,649,588,315,769
  5. Step 5: Solve for x
    x = 1,649,588,315,769/601,590
  6. Step 6: Final answer
    x = 2,742,047.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.