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Finding the Third Proportional to 707,184 and 1,526,391

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Solution

The third proportional to 707,184 and 1,526,391 is: 3,294,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,184 : 1,526,391 = 1,526,391 : x
  2. Step 2: Convert to fraction form
    707,184/1,526,391 = 1,526,391/x
  3. Step 3: Cross multiply
    707,184x = 1,526,391 × 1,526,391
  4. Step 4: Simplify right side
    707,184x = 2,329,869,484,881
  5. Step 5: Solve for x
    x = 2,329,869,484,881/707,184
  6. Step 6: Final answer
    x = 3,294,573.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.