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Finding the Third Proportional to 740,031 and 1,618,461

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Solution

The third proportional to 740,031 and 1,618,461 is: 3,539,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,031 : 1,618,461 = 1,618,461 : x
  2. Step 2: Convert to fraction form
    740,031/1,618,461 = 1,618,461/x
  3. Step 3: Cross multiply
    740,031x = 1,618,461 × 1,618,461
  4. Step 4: Simplify right side
    740,031x = 2,619,416,008,521
  5. Step 5: Solve for x
    x = 2,619,416,008,521/740,031
  6. Step 6: Final answer
    x = 3,539,603.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.