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Finding the Third Proportional to 748,501 and 1,636,969

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Solution

The third proportional to 748,501 and 1,636,969 is: 3,580,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,501 : 1,636,969 = 1,636,969 : x
  2. Step 2: Convert to fraction form
    748,501/1,636,969 = 1,636,969/x
  3. Step 3: Cross multiply
    748,501x = 1,636,969 × 1,636,969
  4. Step 4: Simplify right side
    748,501x = 2,679,667,506,961
  5. Step 5: Solve for x
    x = 2,679,667,506,961/748,501
  6. Step 6: Final answer
    x = 3,580,045.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.