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Finding the Third Proportional to 2,984,590.50 and 6,395,038.50

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Solution

The third proportional to 2,984,590.50 and 6,395,038.50 is: 13,702,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,590.50 : 6,395,038.50 = 6,395,038.50 : x
  2. Step 2: Convert to fraction form
    2,984,590.50/6,395,038.50 = 6,395,038.50/x
  3. Step 3: Cross multiply
    2,984,590.50x = 6,395,038.50 × 6,395,038.50
  4. Step 4: Simplify right side
    2,984,590.50x = 40,896,517,416,482.25
  5. Step 5: Solve for x
    x = 40,896,517,416,482.25/2,984,590.50
  6. Step 6: Final answer
    x = 13,702,555.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.