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Finding the Third Proportional to 732,152 and 1,499,984

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Solution

The third proportional to 732,152 and 1,499,984 is: 3,073,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,152 : 1,499,984 = 1,499,984 : x
  2. Step 2: Convert to fraction form
    732,152/1,499,984 = 1,499,984/x
  3. Step 3: Cross multiply
    732,152x = 1,499,984 × 1,499,984
  4. Step 4: Simplify right side
    732,152x = 2,249,952,000,256
  5. Step 5: Solve for x
    x = 2,249,952,000,256/732,152
  6. Step 6: Final answer
    x = 3,073,066.80

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.