Finding the Third Proportional to 491,206 and 1,031,948
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Solution
The third proportional to 491,206 and 1,031,948 is: 2,167,963.49
Step by Step Solution
- Step 1: Write the proportion equation
491,206 : 1,031,948 = 1,031,948 : x - Step 2: Convert to fraction form
491,206/1,031,948 = 1,031,948/x - Step 3: Cross multiply
491,206x = 1,031,948 × 1,031,948 - Step 4: Simplify right side
491,206x = 1,064,916,674,704 - Step 5: Solve for x
x = 1,064,916,674,704/491,206 - Step 6: Final answer
x = 2,167,963.49
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.