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Finding the Third Proportional to 406,949,926.50 and 882,804,507.75

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Solution

The third proportional to 406,949,926.50 and 882,804,507.75 is: 1,915,085,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,949,926.50 : 882,804,507.75 = 882,804,507.75 : x
  2. Step 2: Convert to fraction form
    406,949,926.50/882,804,507.75 = 882,804,507.75/x
  3. Step 3: Cross multiply
    406,949,926.50x = 882,804,507.75 × 882,804,507.75
  4. Step 4: Simplify right side
    406,949,926.50x = 779,343,798,903,719,808
  5. Step 5: Solve for x
    x = 779,343,798,903,719,808/406,949,926.50
  6. Step 6: Final answer
    x = 1,915,085,243.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.