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Finding the Third Proportional to 746,343 and 1,590,258

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Solution

The third proportional to 746,343 and 1,590,258 is: 3,388,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,343 : 1,590,258 = 1,590,258 : x
  2. Step 2: Convert to fraction form
    746,343/1,590,258 = 1,590,258/x
  3. Step 3: Cross multiply
    746,343x = 1,590,258 × 1,590,258
  4. Step 4: Simplify right side
    746,343x = 2,528,920,506,564
  5. Step 5: Solve for x
    x = 2,528,920,506,564/746,343
  6. Step 6: Final answer
    x = 3,388,415.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.