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Finding the Third Proportional to 1,982,702.95 and 4,343,210.16

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Solution

The third proportional to 1,982,702.95 and 4,343,210.16 is: 9,514,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,702.95 : 4,343,210.16 = 4,343,210.16 : x
  2. Step 2: Convert to fraction form
    1,982,702.95/4,343,210.16 = 4,343,210.16/x
  3. Step 3: Cross multiply
    1,982,702.95x = 4,343,210.16 × 4,343,210.16
  4. Step 4: Simplify right side
    1,982,702.95x = 18,863,474,461,353.15
  5. Step 5: Solve for x
    x = 18,863,474,461,353.15/1,982,702.95
  6. Step 6: Final answer
    x = 9,514,019.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.