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Finding the Third Proportional to 830,926 and 1,807,436

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Solution

The third proportional to 830,926 and 1,807,436 is: 3,931,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,926 : 1,807,436 = 1,807,436 : x
  2. Step 2: Convert to fraction form
    830,926/1,807,436 = 1,807,436/x
  3. Step 3: Cross multiply
    830,926x = 1,807,436 × 1,807,436
  4. Step 4: Simplify right side
    830,926x = 3,266,824,894,096
  5. Step 5: Solve for x
    x = 3,266,824,894,096/830,926
  6. Step 6: Final answer
    x = 3,931,547.33

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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.