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Finding the Third Proportional to 645,833 and 996,001.50

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Solution

The third proportional to 645,833 and 996,001.50 is: 1,536,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,833 : 996,001.50 = 996,001.50 : x
  2. Step 2: Convert to fraction form
    645,833/996,001.50 = 996,001.50/x
  3. Step 3: Cross multiply
    645,833x = 996,001.50 × 996,001.50
  4. Step 4: Simplify right side
    645,833x = 992,018,988,002.25
  5. Step 5: Solve for x
    x = 992,018,988,002.25/645,833
  6. Step 6: Final answer
    x = 1,536,030.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.