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Finding the Third Proportional to 656,970 and 1,416,486

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Solution

The third proportional to 656,970 and 1,416,486 is: 3,054,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,970 : 1,416,486 = 1,416,486 : x
  2. Step 2: Convert to fraction form
    656,970/1,416,486 = 1,416,486/x
  3. Step 3: Cross multiply
    656,970x = 1,416,486 × 1,416,486
  4. Step 4: Simplify right side
    656,970x = 2,006,432,588,196
  5. Step 5: Solve for x
    x = 2,006,432,588,196/656,970
  6. Step 6: Final answer
    x = 3,054,070.34

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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.