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Finding the Third Proportional to 584,220 and 1,276,572

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Solution

The third proportional to 584,220 and 1,276,572 is: 2,789,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,220 : 1,276,572 = 1,276,572 : x
  2. Step 2: Convert to fraction form
    584,220/1,276,572 = 1,276,572/x
  3. Step 3: Cross multiply
    584,220x = 1,276,572 × 1,276,572
  4. Step 4: Simplify right side
    584,220x = 1,629,636,071,184
  5. Step 5: Solve for x
    x = 1,629,636,071,184/584,220
  6. Step 6: Final answer
    x = 2,789,421.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.