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Finding the Third Proportional to 1,205,312 and 1,636,957

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Solution

The third proportional to 1,205,312 and 1,636,957 is: 2,223,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,312 : 1,636,957 = 1,636,957 : x
  2. Step 2: Convert to fraction form
    1,205,312/1,636,957 = 1,636,957/x
  3. Step 3: Cross multiply
    1,205,312x = 1,636,957 × 1,636,957
  4. Step 4: Simplify right side
    1,205,312x = 2,679,628,219,849
  5. Step 5: Solve for x
    x = 2,679,628,219,849/1,205,312
  6. Step 6: Final answer
    x = 2,223,182.23

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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.