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Finding the Third Proportional to 623,205 and 1,017,537

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Solution

The third proportional to 623,205 and 1,017,537 is: 1,661,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,205 : 1,017,537 = 1,017,537 : x
  2. Step 2: Convert to fraction form
    623,205/1,017,537 = 1,017,537/x
  3. Step 3: Cross multiply
    623,205x = 1,017,537 × 1,017,537
  4. Step 4: Simplify right side
    623,205x = 1,035,381,546,369
  5. Step 5: Solve for x
    x = 1,035,381,546,369/623,205
  6. Step 6: Final answer
    x = 1,661,381.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.