Finding the Third Proportional to 654,902 and 978,309
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Solution
The third proportional to 654,902 and 978,309 is: 1,461,422.47
Step by Step Solution
- Step 1: Write the proportion equation
654,902 : 978,309 = 978,309 : x - Step 2: Convert to fraction form
654,902/978,309 = 978,309/x - Step 3: Cross multiply
654,902x = 978,309 × 978,309 - Step 4: Simplify right side
654,902x = 957,088,499,481 - Step 5: Solve for x
x = 957,088,499,481/654,902 - Step 6: Final answer
x = 1,461,422.47
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.