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Finding the Third Proportional to 656,594 and 1,411,276

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Solution

The third proportional to 656,594 and 1,411,276 is: 3,033,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,594 : 1,411,276 = 1,411,276 : x
  2. Step 2: Convert to fraction form
    656,594/1,411,276 = 1,411,276/x
  3. Step 3: Cross multiply
    656,594x = 1,411,276 × 1,411,276
  4. Step 4: Simplify right side
    656,594x = 1,991,699,948,176
  5. Step 5: Solve for x
    x = 1,991,699,948,176/656,594
  6. Step 6: Final answer
    x = 3,033,381.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.