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Finding the Third Proportional to 740,258 and 1,607,358

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Solution

The third proportional to 740,258 and 1,607,358 is: 3,490,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,258 : 1,607,358 = 1,607,358 : x
  2. Step 2: Convert to fraction form
    740,258/1,607,358 = 1,607,358/x
  3. Step 3: Cross multiply
    740,258x = 1,607,358 × 1,607,358
  4. Step 4: Simplify right side
    740,258x = 2,583,599,740,164
  5. Step 5: Solve for x
    x = 2,583,599,740,164/740,258
  6. Step 6: Final answer
    x = 3,490,134.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.