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Finding the Third Proportional to 459,699 and 974,686.50

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Solution

The third proportional to 459,699 and 974,686.50 is: 2,066,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,699 : 974,686.50 = 974,686.50 : x
  2. Step 2: Convert to fraction form
    459,699/974,686.50 = 974,686.50/x
  3. Step 3: Cross multiply
    459,699x = 974,686.50 × 974,686.50
  4. Step 4: Simplify right side
    459,699x = 950,013,773,282.25
  5. Step 5: Solve for x
    x = 950,013,773,282.25/459,699
  6. Step 6: Final answer
    x = 2,066,599.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.