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Finding the Third Proportional to 771,358 and 1,580,300

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Solution

The third proportional to 771,358 and 1,580,300 is: 3,237,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,358 : 1,580,300 = 1,580,300 : x
  2. Step 2: Convert to fraction form
    771,358/1,580,300 = 1,580,300/x
  3. Step 3: Cross multiply
    771,358x = 1,580,300 × 1,580,300
  4. Step 4: Simplify right side
    771,358x = 2,497,348,090,000
  5. Step 5: Solve for x
    x = 2,497,348,090,000/771,358
  6. Step 6: Final answer
    x = 3,237,599.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.