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Finding the Third Proportional to 830,830.50 and 1,807,461

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Solution

The third proportional to 830,830.50 and 1,807,461 is: 3,932,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,830.50 : 1,807,461 = 1,807,461 : x
  2. Step 2: Convert to fraction form
    830,830.50/1,807,461 = 1,807,461/x
  3. Step 3: Cross multiply
    830,830.50x = 1,807,461 × 1,807,461
  4. Step 4: Simplify right side
    830,830.50x = 3,266,915,266,521
  5. Step 5: Solve for x
    x = 3,266,915,266,521/830,830.50
  6. Step 6: Final answer
    x = 3,932,108.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.