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Finding the Third Proportional to 689,044 and 1,477,712

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Solution

The third proportional to 689,044 and 1,477,712 is: 3,169,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,044 : 1,477,712 = 1,477,712 : x
  2. Step 2: Convert to fraction form
    689,044/1,477,712 = 1,477,712/x
  3. Step 3: Cross multiply
    689,044x = 1,477,712 × 1,477,712
  4. Step 4: Simplify right side
    689,044x = 2,183,632,754,944
  5. Step 5: Solve for x
    x = 2,183,632,754,944/689,044
  6. Step 6: Final answer
    x = 3,169,075.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.