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Finding the Third Proportional to 1,260,534 and 2,698,260

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Solution

The third proportional to 1,260,534 and 2,698,260 is: 5,775,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,534 : 2,698,260 = 2,698,260 : x
  2. Step 2: Convert to fraction form
    1,260,534/2,698,260 = 2,698,260/x
  3. Step 3: Cross multiply
    1,260,534x = 2,698,260 × 2,698,260
  4. Step 4: Simplify right side
    1,260,534x = 7,280,607,027,600
  5. Step 5: Solve for x
    x = 7,280,607,027,600/1,260,534
  6. Step 6: Final answer
    x = 5,775,811.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.