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Finding the Third Proportional to 684,824 and 1,064,537

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Solution

The third proportional to 684,824 and 1,064,537 is: 1,654,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,824 : 1,064,537 = 1,064,537 : x
  2. Step 2: Convert to fraction form
    684,824/1,064,537 = 1,064,537/x
  3. Step 3: Cross multiply
    684,824x = 1,064,537 × 1,064,537
  4. Step 4: Simplify right side
    684,824x = 1,133,239,024,369
  5. Step 5: Solve for x
    x = 1,133,239,024,369/684,824
  6. Step 6: Final answer
    x = 1,654,788.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.