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Finding the Third Proportional to 573,426 and 886,410

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Solution

The third proportional to 573,426 and 886,410 is: 1,370,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,426 : 886,410 = 886,410 : x
  2. Step 2: Convert to fraction form
    573,426/886,410 = 886,410/x
  3. Step 3: Cross multiply
    573,426x = 886,410 × 886,410
  4. Step 4: Simplify right side
    573,426x = 785,722,688,100
  5. Step 5: Solve for x
    x = 785,722,688,100/573,426
  6. Step 6: Final answer
    x = 1,370,225.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.