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Finding the Third Proportional to 652,010 and 997,389

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Solution

The third proportional to 652,010 and 997,389 is: 1,525,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,010 : 997,389 = 997,389 : x
  2. Step 2: Convert to fraction form
    652,010/997,389 = 997,389/x
  3. Step 3: Cross multiply
    652,010x = 997,389 × 997,389
  4. Step 4: Simplify right side
    652,010x = 994,784,817,321
  5. Step 5: Solve for x
    x = 994,784,817,321/652,010
  6. Step 6: Final answer
    x = 1,525,720.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.