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Finding the Third Proportional to 668,820 and 1,010,361

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Solution

The third proportional to 668,820 and 1,010,361 is: 1,526,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,820 : 1,010,361 = 1,010,361 : x
  2. Step 2: Convert to fraction form
    668,820/1,010,361 = 1,010,361/x
  3. Step 3: Cross multiply
    668,820x = 1,010,361 × 1,010,361
  4. Step 4: Simplify right side
    668,820x = 1,020,829,350,321
  5. Step 5: Solve for x
    x = 1,020,829,350,321/668,820
  6. Step 6: Final answer
    x = 1,526,314.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.