Finding the Third Proportional to 472,709 and 1,011,864
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Solution
The third proportional to 472,709 and 1,011,864 is: 2,165,959.93
Step by Step Solution
- Step 1: Write the proportion equation
472,709 : 1,011,864 = 1,011,864 : x - Step 2: Convert to fraction form
472,709/1,011,864 = 1,011,864/x - Step 3: Cross multiply
472,709x = 1,011,864 × 1,011,864 - Step 4: Simplify right side
472,709x = 1,023,868,754,496 - Step 5: Solve for x
x = 1,023,868,754,496/472,709 - Step 6: Final answer
x = 2,165,959.93
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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.