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Finding the Third Proportional to 651,034 and 1,426,196

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Solution

The third proportional to 651,034 and 1,426,196 is: 3,124,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,034 : 1,426,196 = 1,426,196 : x
  2. Step 2: Convert to fraction form
    651,034/1,426,196 = 1,426,196/x
  3. Step 3: Cross multiply
    651,034x = 1,426,196 × 1,426,196
  4. Step 4: Simplify right side
    651,034x = 2,034,035,030,416
  5. Step 5: Solve for x
    x = 2,034,035,030,416/651,034
  6. Step 6: Final answer
    x = 3,124,314.60

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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.