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Finding the Third Proportional to 811,157.63 and 1,877,779.13

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Solution

The third proportional to 811,157.63 and 1,877,779.13 is: 4,346,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,157.63 : 1,877,779.13 = 1,877,779.13 : x
  2. Step 2: Convert to fraction form
    811,157.63/1,877,779.13 = 1,877,779.13/x
  3. Step 3: Cross multiply
    811,157.63x = 1,877,779.13 × 1,877,779.13
  4. Step 4: Simplify right side
    811,157.63x = 3,526,054,442,285.77
  5. Step 5: Solve for x
    x = 3,526,054,442,285.77/811,157.63
  6. Step 6: Final answer
    x = 4,346,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.