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Finding the Third Proportional to 1,205,309 and 1,636,959

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Solution

The third proportional to 1,205,309 and 1,636,959 is: 2,223,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,309 : 1,636,959 = 1,636,959 : x
  2. Step 2: Convert to fraction form
    1,205,309/1,636,959 = 1,636,959/x
  3. Step 3: Cross multiply
    1,205,309x = 1,636,959 × 1,636,959
  4. Step 4: Simplify right side
    1,205,309x = 2,679,634,767,681
  5. Step 5: Solve for x
    x = 2,679,634,767,681/1,205,309
  6. Step 6: Final answer
    x = 2,223,193.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.