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Finding the Third Proportional to 658,590 and 1,047,321

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Solution

The third proportional to 658,590 and 1,047,321 is: 1,665,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,590 : 1,047,321 = 1,047,321 : x
  2. Step 2: Convert to fraction form
    658,590/1,047,321 = 1,047,321/x
  3. Step 3: Cross multiply
    658,590x = 1,047,321 × 1,047,321
  4. Step 4: Simplify right side
    658,590x = 1,096,881,277,041
  5. Step 5: Solve for x
    x = 1,096,881,277,041/658,590
  6. Step 6: Final answer
    x = 1,665,499.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.