Finding the Third Proportional to 470,746 and 1,036,506
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Solution
The third proportional to 470,746 and 1,036,506 is: 2,282,217.35
Step by Step Solution
- Step 1: Write the proportion equation
470,746 : 1,036,506 = 1,036,506 : x - Step 2: Convert to fraction form
470,746/1,036,506 = 1,036,506/x - Step 3: Cross multiply
470,746x = 1,036,506 × 1,036,506 - Step 4: Simplify right side
470,746x = 1,074,344,688,036 - Step 5: Solve for x
x = 1,074,344,688,036/470,746 - Step 6: Final answer
x = 2,282,217.35
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.