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Finding the Third Proportional to 569,970 and 889,461

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Solution

The third proportional to 569,970 and 889,461 is: 1,388,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,970 : 889,461 = 889,461 : x
  2. Step 2: Convert to fraction form
    569,970/889,461 = 889,461/x
  3. Step 3: Cross multiply
    569,970x = 889,461 × 889,461
  4. Step 4: Simplify right side
    569,970x = 791,140,870,521
  5. Step 5: Solve for x
    x = 791,140,870,521/569,970
  6. Step 6: Final answer
    x = 1,388,039.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.