Finding the Third Proportional to 470,850 and 1,006,320
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Solution
The third proportional to 470,850 and 1,006,320 is: 2,150,748.52
Step by Step Solution
- Step 1: Write the proportion equation
470,850 : 1,006,320 = 1,006,320 : x - Step 2: Convert to fraction form
470,850/1,006,320 = 1,006,320/x - Step 3: Cross multiply
470,850x = 1,006,320 × 1,006,320 - Step 4: Simplify right side
470,850x = 1,012,679,942,400 - Step 5: Solve for x
x = 1,012,679,942,400/470,850 - Step 6: Final answer
x = 2,150,748.52
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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.