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Finding the Third Proportional to 758,070 and 1,634,228

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Solution

The third proportional to 758,070 and 1,634,228 is: 3,523,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,070 : 1,634,228 = 1,634,228 : x
  2. Step 2: Convert to fraction form
    758,070/1,634,228 = 1,634,228/x
  3. Step 3: Cross multiply
    758,070x = 1,634,228 × 1,634,228
  4. Step 4: Simplify right side
    758,070x = 2,670,701,155,984
  5. Step 5: Solve for x
    x = 2,670,701,155,984/758,070
  6. Step 6: Final answer
    x = 3,523,027.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.