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Finding the Third Proportional to 584,280 and 1,227,594

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Solution

The third proportional to 584,280 and 1,227,594 is: 2,579,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,280 : 1,227,594 = 1,227,594 : x
  2. Step 2: Convert to fraction form
    584,280/1,227,594 = 1,227,594/x
  3. Step 3: Cross multiply
    584,280x = 1,227,594 × 1,227,594
  4. Step 4: Simplify right side
    584,280x = 1,506,987,028,836
  5. Step 5: Solve for x
    x = 1,506,987,028,836/584,280
  6. Step 6: Final answer
    x = 2,579,220.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.