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Finding the Third Proportional to 832,088 and 1,218,513

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Solution

The third proportional to 832,088 and 1,218,513 is: 1,784,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,088 : 1,218,513 = 1,218,513 : x
  2. Step 2: Convert to fraction form
    832,088/1,218,513 = 1,218,513/x
  3. Step 3: Cross multiply
    832,088x = 1,218,513 × 1,218,513
  4. Step 4: Simplify right side
    832,088x = 1,484,773,931,169
  5. Step 5: Solve for x
    x = 1,484,773,931,169/832,088
  6. Step 6: Final answer
    x = 1,784,395.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.