Finding the Third Proportional to 976,428 and 1,478,412
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Solution
The third proportional to 976,428 and 1,478,412 is: 2,238,467.19
Step by Step Solution
- Step 1: Write the proportion equation
976,428 : 1,478,412 = 1,478,412 : x - Step 2: Convert to fraction form
976,428/1,478,412 = 1,478,412/x - Step 3: Cross multiply
976,428x = 1,478,412 × 1,478,412 - Step 4: Simplify right side
976,428x = 2,185,702,041,744 - Step 5: Solve for x
x = 2,185,702,041,744/976,428 - Step 6: Final answer
x = 2,238,467.19
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.