Finding the Third Proportional to 507,984 and 1,085,948
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Solution
The third proportional to 507,984 and 1,085,948 is: 2,321,496.46
Step by Step Solution
- Step 1: Write the proportion equation
507,984 : 1,085,948 = 1,085,948 : x - Step 2: Convert to fraction form
507,984/1,085,948 = 1,085,948/x - Step 3: Cross multiply
507,984x = 1,085,948 × 1,085,948 - Step 4: Simplify right side
507,984x = 1,179,283,058,704 - Step 5: Solve for x
x = 1,179,283,058,704/507,984 - Step 6: Final answer
x = 2,321,496.46
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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.