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Finding the Third Proportional to 932,565 and 1,482,916.50

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Solution

The third proportional to 932,565 and 1,482,916.50 is: 2,358,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,565 : 1,482,916.50 = 1,482,916.50 : x
  2. Step 2: Convert to fraction form
    932,565/1,482,916.50 = 1,482,916.50/x
  3. Step 3: Cross multiply
    932,565x = 1,482,916.50 × 1,482,916.50
  4. Step 4: Simplify right side
    932,565x = 2,199,041,345,972.25
  5. Step 5: Solve for x
    x = 2,199,041,345,972.25/932,565
  6. Step 6: Final answer
    x = 2,358,056.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.