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Finding the Third Proportional to 1,583,114.63 and 1,730,737.13

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Solution

The third proportional to 1,583,114.63 and 1,730,737.13 is: 1,892,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,114.63 : 1,730,737.13 = 1,730,737.13 : x
  2. Step 2: Convert to fraction form
    1,583,114.63/1,730,737.13 = 1,730,737.13/x
  3. Step 3: Cross multiply
    1,583,114.63x = 1,730,737.13 × 1,730,737.13
  4. Step 4: Simplify right side
    1,583,114.63x = 2,995,450,995,853.27
  5. Step 5: Solve for x
    x = 2,995,450,995,853.27/1,583,114.63
  6. Step 6: Final answer
    x = 1,892,125.15

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.