Finding the Third Proportional to 458,006 and 978,909
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Solution
The third proportional to 458,006 and 978,909 is: 2,092,249.51
Step by Step Solution
- Step 1: Write the proportion equation
458,006 : 978,909 = 978,909 : x - Step 2: Convert to fraction form
458,006/978,909 = 978,909/x - Step 3: Cross multiply
458,006x = 978,909 × 978,909 - Step 4: Simplify right side
458,006x = 958,262,830,281 - Step 5: Solve for x
x = 958,262,830,281/458,006 - Step 6: Final answer
x = 2,092,249.51
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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.